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Finding the Fourth Proportional to 552,221.30, 827,165.55 and 458,909.30

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Solution

The fourth proportional to 552,221.30, 827,165.55 and 458,909.30 is: 687,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,221.30 : 827,165.55 = 458,909.30 : x
  2. Step 2: Convert to fraction form
    552,221.30/827,165.55 = 458,909.30/x
  3. Step 3: Cross multiply
    552,221.30x = 827,165.55 × 458,909.30
  4. Step 4: Simplify right side
    552,221.30x = 379,593,963,534.62
  5. Step 5: Solve for x
    x = 379,593,963,534.62/552,221.30
  6. Step 6: Final answer
    x = 687,394.64

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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.