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Finding the Fourth Proportional to 463,864.92, 640,022.68 and 270,155.04

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Solution

The fourth proportional to 463,864.92, 640,022.68 and 270,155.04 is: 372,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,864.92 : 640,022.68 = 270,155.04 : x
  2. Step 2: Convert to fraction form
    463,864.92/640,022.68 = 270,155.04/x
  3. Step 3: Cross multiply
    463,864.92x = 640,022.68 × 270,155.04
  4. Step 4: Simplify right side
    463,864.92x = 172,905,352,716.31
  5. Step 5: Solve for x
    x = 172,905,352,716.31/463,864.92
  6. Step 6: Final answer
    x = 372,749.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.