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Finding the Fourth Proportional to 502,744.97, 754,160.52 and 142,917.18

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Solution

The fourth proportional to 502,744.97, 754,160.52 and 142,917.18 is: 214,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,744.97 : 754,160.52 = 142,917.18 : x
  2. Step 2: Convert to fraction form
    502,744.97/754,160.52 = 142,917.18/x
  3. Step 3: Cross multiply
    502,744.97x = 754,160.52 × 142,917.18
  4. Step 4: Simplify right side
    502,744.97x = 107,782,494,071.15
  5. Step 5: Solve for x
    x = 107,782,494,071.15/502,744.97
  6. Step 6: Final answer
    x = 214,388.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.