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Finding the Fourth Proportional to 529,608.87, 730,921.50 and 314,747.06

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Solution

The fourth proportional to 529,608.87, 730,921.50 and 314,747.06 is: 434,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,608.87 : 730,921.50 = 314,747.06 : x
  2. Step 2: Convert to fraction form
    529,608.87/730,921.50 = 314,747.06/x
  3. Step 3: Cross multiply
    529,608.87x = 730,921.50 × 314,747.06
  4. Step 4: Simplify right side
    529,608.87x = 230,055,389,561.18
  5. Step 5: Solve for x
    x = 230,055,389,561.18/529,608.87
  6. Step 6: Final answer
    x = 434,387.34

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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.