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Finding the Fourth Proportional to 466,374.47, 699,561.71 and 129,415.23

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Solution

The fourth proportional to 466,374.47, 699,561.71 and 129,415.23 is: 194,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,374.47 : 699,561.71 = 129,415.23 : x
  2. Step 2: Convert to fraction form
    466,374.47/699,561.71 = 129,415.23/x
  3. Step 3: Cross multiply
    466,374.47x = 699,561.71 × 129,415.23
  4. Step 4: Simplify right side
    466,374.47x = 90,533,938,951.77
  5. Step 5: Solve for x
    x = 90,533,938,951.77/466,374.47
  6. Step 6: Final answer
    x = 194,122.85

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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.