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Finding the Fourth Proportional to 458,514.90, 687,189.15 and 221,346.90

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Solution

The fourth proportional to 458,514.90, 687,189.15 and 221,346.90 is: 331,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,514.90 : 687,189.15 = 221,346.90 : x
  2. Step 2: Convert to fraction form
    458,514.90/687,189.15 = 221,346.90/x
  3. Step 3: Cross multiply
    458,514.90x = 687,189.15 × 221,346.90
  4. Step 4: Simplify right side
    458,514.90x = 152,107,188,066.14
  5. Step 5: Solve for x
    x = 152,107,188,066.14/458,514.90
  6. Step 6: Final answer
    x = 331,738.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.