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Finding the Fourth Proportional to 587,562.38, 811,084.10 and 396,834.11

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Solution

The fourth proportional to 587,562.38, 811,084.10 and 396,834.11 is: 547,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,562.38 : 811,084.10 = 396,834.11 : x
  2. Step 2: Convert to fraction form
    587,562.38/811,084.10 = 396,834.11/x
  3. Step 3: Cross multiply
    587,562.38x = 811,084.10 × 396,834.11
  4. Step 4: Simplify right side
    587,562.38x = 321,865,830,919.06
  5. Step 5: Solve for x
    x = 321,865,830,919.06/587,562.38
  6. Step 6: Final answer
    x = 547,798.57

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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.