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Finding the Fourth Proportional to 463,951.91, 695,757.16 and 160,268.81

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Solution

The fourth proportional to 463,951.91, 695,757.16 and 160,268.81 is: 240,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,951.91 : 695,757.16 = 160,268.81 : x
  2. Step 2: Convert to fraction form
    463,951.91/695,757.16 = 160,268.81/x
  3. Step 3: Cross multiply
    463,951.91x = 695,757.16 × 160,268.81
  4. Step 4: Simplify right side
    463,951.91x = 111,508,172,082.18
  5. Step 5: Solve for x
    x = 111,508,172,082.18/463,951.91
  6. Step 6: Final answer
    x = 240,344.25

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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.