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Finding the Fourth Proportional to 475,034.24, 712,534.08 and 142,601.60

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Solution

The fourth proportional to 475,034.24, 712,534.08 and 142,601.60 is: 213,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,034.24 : 712,534.08 = 142,601.60 : x
  2. Step 2: Convert to fraction form
    475,034.24/712,534.08 = 142,601.60/x
  3. Step 3: Cross multiply
    475,034.24x = 712,534.08 × 142,601.60
  4. Step 4: Simplify right side
    475,034.24x = 101,608,499,862.53
  5. Step 5: Solve for x
    x = 101,608,499,862.53/475,034.24
  6. Step 6: Final answer
    x = 213,897.21

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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.