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Finding the Fourth Proportional to 314,474.61, 471,785.67 and 89,838.24

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Solution

The fourth proportional to 314,474.61, 471,785.67 and 89,838.24 is: 134,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,474.61 : 471,785.67 = 89,838.24 : x
  2. Step 2: Convert to fraction form
    314,474.61/471,785.67 = 89,838.24/x
  3. Step 3: Cross multiply
    314,474.61x = 471,785.67 × 89,838.24
  4. Step 4: Simplify right side
    314,474.61x = 42,384,394,250.02
  5. Step 5: Solve for x
    x = 42,384,394,250.02/314,474.61
  6. Step 6: Final answer
    x = 134,778.43

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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.