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Finding the Fourth Proportional to 569,415.06, 785,762.10 and 314,751.06

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Solution

The fourth proportional to 569,415.06, 785,762.10 and 314,751.06 is: 434,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,415.06 : 785,762.10 = 314,751.06 : x
  2. Step 2: Convert to fraction form
    569,415.06/785,762.10 = 314,751.06/x
  3. Step 3: Cross multiply
    569,415.06x = 785,762.10 × 314,751.06
  4. Step 4: Simplify right side
    569,415.06x = 247,319,453,882.83
  5. Step 5: Solve for x
    x = 247,319,453,882.83/569,415.06
  6. Step 6: Final answer
    x = 434,339.50

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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.