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Finding the Fourth Proportional to 334,429.85, 501,644.78 and 156,954.80

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Solution

The fourth proportional to 334,429.85, 501,644.78 and 156,954.80 is: 235,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,429.85 : 501,644.78 = 156,954.80 : x
  2. Step 2: Convert to fraction form
    334,429.85/501,644.78 = 156,954.80/x
  3. Step 3: Cross multiply
    334,429.85x = 501,644.78 × 156,954.80
  4. Step 4: Simplify right side
    334,429.85x = 78,735,555,331.17
  5. Step 5: Solve for x
    x = 78,735,555,331.17/334,429.85
  6. Step 6: Final answer
    x = 235,432.20

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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.