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Finding the Fourth Proportional to 293,451, 404,962.38 and 159,315

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Solution

The fourth proportional to 293,451, 404,962.38 and 159,315 is: 219,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,451 : 404,962.38 = 159,315 : x
  2. Step 2: Convert to fraction form
    293,451/404,962.38 = 159,315/x
  3. Step 3: Cross multiply
    293,451x = 404,962.38 × 159,315
  4. Step 4: Simplify right side
    293,451x = 64,516,581,569.70
  5. Step 5: Solve for x
    x = 64,516,581,569.70/293,451
  6. Step 6: Final answer
    x = 219,854.70

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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.