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Finding the Fourth Proportional to 569,312.56, 785,623.08 and 314,657.20

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Solution

The fourth proportional to 569,312.56, 785,623.08 and 314,657.20 is: 434,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,312.56 : 785,623.08 = 314,657.20 : x
  2. Step 2: Convert to fraction form
    569,312.56/785,623.08 = 314,657.20/x
  3. Step 3: Cross multiply
    569,312.56x = 785,623.08 × 314,657.20
  4. Step 4: Simplify right side
    569,312.56x = 247,201,958,608.18
  5. Step 5: Solve for x
    x = 247,201,958,608.18/569,312.56
  6. Step 6: Final answer
    x = 434,211.32

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.