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Finding the Fourth Proportional to 531,988.14, 734,036.13 and 338,472.66

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Solution

The fourth proportional to 531,988.14, 734,036.13 and 338,472.66 is: 467,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,988.14 : 734,036.13 = 338,472.66 : x
  2. Step 2: Convert to fraction form
    531,988.14/734,036.13 = 338,472.66/x
  3. Step 3: Cross multiply
    531,988.14x = 734,036.13 × 338,472.66
  4. Step 4: Simplify right side
    531,988.14x = 248,451,161,457.21
  5. Step 5: Solve for x
    x = 248,451,161,457.21/531,988.14
  6. Step 6: Final answer
    x = 467,023.87

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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.