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Finding the Fourth Proportional to 314,387.40, 471,514.12 and 89,687.50

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Solution

The fourth proportional to 314,387.40, 471,514.12 and 89,687.50 is: 134,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,387.40 : 471,514.12 = 89,687.50 : x
  2. Step 2: Convert to fraction form
    314,387.40/471,514.12 = 89,687.50/x
  3. Step 3: Cross multiply
    314,387.40x = 471,514.12 × 89,687.50
  4. Step 4: Simplify right side
    314,387.40x = 42,288,924,517.38
  5. Step 5: Solve for x
    x = 42,288,924,517.38/314,387.40
  6. Step 6: Final answer
    x = 134,512.15

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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.