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Finding the Fourth Proportional to 585,164.38, 878,000.12 and 206,355.78

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Solution

The fourth proportional to 585,164.38, 878,000.12 and 206,355.78 is: 309,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,164.38 : 878,000.12 = 206,355.78 : x
  2. Step 2: Convert to fraction form
    585,164.38/878,000.12 = 206,355.78/x
  3. Step 3: Cross multiply
    585,164.38x = 878,000.12 × 206,355.78
  4. Step 4: Simplify right side
    585,164.38x = 181,180,394,180.91
  5. Step 5: Solve for x
    x = 181,180,394,180.91/585,164.38
  6. Step 6: Final answer
    x = 309,623.08

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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.