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Finding the Fourth Proportional to 418,438.60, 577,447.34 and 227,452

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Solution

The fourth proportional to 418,438.60, 577,447.34 and 227,452 is: 313,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,438.60 : 577,447.34 = 227,452 : x
  2. Step 2: Convert to fraction form
    418,438.60/577,447.34 = 227,452/x
  3. Step 3: Cross multiply
    418,438.60x = 577,447.34 × 227,452
  4. Step 4: Simplify right side
    418,438.60x = 131,341,552,377.68
  5. Step 5: Solve for x
    x = 131,341,552,377.68/418,438.60
  6. Step 6: Final answer
    x = 313,884.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.