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Finding the Fourth Proportional to 541,597.32, 747,446.34 and 299,902.38

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Solution

The fourth proportional to 541,597.32, 747,446.34 and 299,902.38 is: 413,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,597.32 : 747,446.34 = 299,902.38 : x
  2. Step 2: Convert to fraction form
    541,597.32/747,446.34 = 299,902.38/x
  3. Step 3: Cross multiply
    541,597.32x = 747,446.34 × 299,902.38
  4. Step 4: Simplify right side
    541,597.32x = 224,160,936,288.29
  5. Step 5: Solve for x
    x = 224,160,936,288.29/541,597.32
  6. Step 6: Final answer
    x = 413,888.56

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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.