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Finding the Fourth Proportional to 391,523.40, 587,285.10 and 307,542.60

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Solution

The fourth proportional to 391,523.40, 587,285.10 and 307,542.60 is: 461,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,523.40 : 587,285.10 = 307,542.60 : x
  2. Step 2: Convert to fraction form
    391,523.40/587,285.10 = 307,542.60/x
  3. Step 3: Cross multiply
    391,523.40x = 587,285.10 × 307,542.60
  4. Step 4: Simplify right side
    391,523.40x = 180,615,186,595.26
  5. Step 5: Solve for x
    x = 180,615,186,595.26/391,523.40
  6. Step 6: Final answer
    x = 461,313.90

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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.