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Finding the Fourth Proportional to 552,732.90, 829,006.61 and 153,414.24

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Solution

The fourth proportional to 552,732.90, 829,006.61 and 153,414.24 is: 230,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,732.90 : 829,006.61 = 153,414.24 : x
  2. Step 2: Convert to fraction form
    552,732.90/829,006.61 = 153,414.24/x
  3. Step 3: Cross multiply
    552,732.90x = 829,006.61 × 153,414.24
  4. Step 4: Simplify right side
    552,732.90x = 127,181,418,261.06
  5. Step 5: Solve for x
    x = 127,181,418,261.06/552,732.90
  6. Step 6: Final answer
    x = 230,095.62

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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.