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Finding the Fourth Proportional to 438,114.60, 657,171.90 and 411,542.55

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Solution

The fourth proportional to 438,114.60, 657,171.90 and 411,542.55 is: 617,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,114.60 : 657,171.90 = 411,542.55 : x
  2. Step 2: Convert to fraction form
    438,114.60/657,171.90 = 411,542.55/x
  3. Step 3: Cross multiply
    438,114.60x = 657,171.90 × 411,542.55
  4. Step 4: Simplify right side
    438,114.60x = 270,454,199,514.35
  5. Step 5: Solve for x
    x = 270,454,199,514.35/438,114.60
  6. Step 6: Final answer
    x = 617,313.83

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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.