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Finding the Fourth Proportional to 552,962.52, 829,414.62 and 272,385

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Solution

The fourth proportional to 552,962.52, 829,414.62 and 272,385 is: 408,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,962.52 : 829,414.62 = 272,385 : x
  2. Step 2: Convert to fraction form
    552,962.52/829,414.62 = 272,385/x
  3. Step 3: Cross multiply
    552,962.52x = 829,414.62 × 272,385
  4. Step 4: Simplify right side
    552,962.52x = 225,920,101,268.70
  5. Step 5: Solve for x
    x = 225,920,101,268.70/552,962.52
  6. Step 6: Final answer
    x = 408,563.14

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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.