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Finding the Fourth Proportional to 598,187.80, 897,440.10 and 261,083.80

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Solution

The fourth proportional to 598,187.80, 897,440.10 and 261,083.80 is: 391,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,187.80 : 897,440.10 = 261,083.80 : x
  2. Step 2: Convert to fraction form
    598,187.80/897,440.10 = 261,083.80/x
  3. Step 3: Cross multiply
    598,187.80x = 897,440.10 × 261,083.80
  4. Step 4: Simplify right side
    598,187.80x = 234,307,071,580.38
  5. Step 5: Solve for x
    x = 234,307,071,580.38/598,187.80
  6. Step 6: Final answer
    x = 391,694.83

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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.