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Finding the Fourth Proportional to 502,132.16, 692,940.24 and 272,687.84

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Solution

The fourth proportional to 502,132.16, 692,940.24 and 272,687.84 is: 376,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,132.16 : 692,940.24 = 272,687.84 : x
  2. Step 2: Convert to fraction form
    502,132.16/692,940.24 = 272,687.84/x
  3. Step 3: Cross multiply
    502,132.16x = 692,940.24 × 272,687.84
  4. Step 4: Simplify right side
    502,132.16x = 188,956,377,294.68
  5. Step 5: Solve for x
    x = 188,956,377,294.68/502,132.16
  6. Step 6: Final answer
    x = 376,308.06

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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.