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Finding the Fourth Proportional to 334,306.71, 501,460.02 and 156,813.72

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Solution

The fourth proportional to 334,306.71, 501,460.02 and 156,813.72 is: 235,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,306.71 : 501,460.02 = 156,813.72 : x
  2. Step 2: Convert to fraction form
    334,306.71/501,460.02 = 156,813.72/x
  3. Step 3: Cross multiply
    334,306.71x = 501,460.02 × 156,813.72
  4. Step 4: Simplify right side
    334,306.71x = 78,635,811,167.47
  5. Step 5: Solve for x
    x = 78,635,811,167.47/334,306.71
  6. Step 6: Final answer
    x = 235,220.56

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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.