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Finding the Fourth Proportional to 314,418.11, 471,700.26 and 89,781.62

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Solution

The fourth proportional to 314,418.11, 471,700.26 and 89,781.62 is: 134,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,418.11 : 471,700.26 = 89,781.62 : x
  2. Step 2: Convert to fraction form
    314,418.11/471,700.26 = 89,781.62/x
  3. Step 3: Cross multiply
    314,418.11x = 471,700.26 × 89,781.62
  4. Step 4: Simplify right side
    314,418.11x = 42,350,011,138.72
  5. Step 5: Solve for x
    x = 42,350,011,138.72/314,418.11
  6. Step 6: Final answer
    x = 134,693.30

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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.