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Finding the Fourth Proportional to 587,895.97, 811,305.06 and 329,829.97

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Solution

The fourth proportional to 587,895.97, 811,305.06 and 329,829.97 is: 455,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,895.97 : 811,305.06 = 329,829.97 : x
  2. Step 2: Convert to fraction form
    587,895.97/811,305.06 = 329,829.97/x
  3. Step 3: Cross multiply
    587,895.97x = 811,305.06 × 329,829.97
  4. Step 4: Simplify right side
    587,895.97x = 267,592,723,600.65
  5. Step 5: Solve for x
    x = 267,592,723,600.65/587,895.97
  6. Step 6: Final answer
    x = 455,170.20

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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.