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Finding the Fourth Proportional to 334,432.85, 501,649.28 and 156,957.80

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Solution

The fourth proportional to 334,432.85, 501,649.28 and 156,957.80 is: 235,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,432.85 : 501,649.28 = 156,957.80 : x
  2. Step 2: Convert to fraction form
    334,432.85/501,649.28 = 156,957.80/x
  3. Step 3: Cross multiply
    334,432.85x = 501,649.28 × 156,957.80
  4. Step 4: Simplify right side
    334,432.85x = 78,737,767,360.38
  5. Step 5: Solve for x
    x = 78,737,767,360.38/334,432.85
  6. Step 6: Final answer
    x = 235,436.70

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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.