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Finding the Fourth Proportional to 314,965.68, 472,446.60 and 115,299.96

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Solution

The fourth proportional to 314,965.68, 472,446.60 and 115,299.96 is: 172,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,965.68 : 472,446.60 = 115,299.96 : x
  2. Step 2: Convert to fraction form
    314,965.68/472,446.60 = 115,299.96/x
  3. Step 3: Cross multiply
    314,965.68x = 472,446.60 × 115,299.96
  4. Step 4: Simplify right side
    314,965.68x = 54,473,074,082.14
  5. Step 5: Solve for x
    x = 54,473,074,082.14/314,965.68
  6. Step 6: Final answer
    x = 172,949.24

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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.