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Finding the Fourth Proportional to 569,400.06, 785,741.40 and 314,736.06

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Solution

The fourth proportional to 569,400.06, 785,741.40 and 314,736.06 is: 434,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,400.06 : 785,741.40 = 314,736.06 : x
  2. Step 2: Convert to fraction form
    569,400.06/785,741.40 = 314,736.06/x
  3. Step 3: Cross multiply
    569,400.06x = 785,741.40 × 314,736.06
  4. Step 4: Simplify right side
    569,400.06x = 247,301,152,414.88
  5. Step 5: Solve for x
    x = 247,301,152,414.88/569,400.06
  6. Step 6: Final answer
    x = 434,318.80

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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.