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Finding the Fourth Proportional to 314,471.61, 471,781.17 and 89,835.24

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Solution

The fourth proportional to 314,471.61, 471,781.17 and 89,835.24 is: 134,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,471.61 : 471,781.17 = 89,835.24 : x
  2. Step 2: Convert to fraction form
    314,471.61/471,781.17 = 89,835.24/x
  3. Step 3: Cross multiply
    314,471.61x = 471,781.17 × 89,835.24
  4. Step 4: Simplify right side
    314,471.61x = 42,382,574,634.43
  5. Step 5: Solve for x
    x = 42,382,574,634.43/314,471.61
  6. Step 6: Final answer
    x = 134,773.93

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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.