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Finding the Fourth Proportional to 598,083.74, 825,337.17 and 339,988.89

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Solution

The fourth proportional to 598,083.74, 825,337.17 and 339,988.89 is: 469,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,083.74 : 825,337.17 = 339,988.89 : x
  2. Step 2: Convert to fraction form
    598,083.74/825,337.17 = 339,988.89/x
  3. Step 3: Cross multiply
    598,083.74x = 825,337.17 × 339,988.89
  4. Step 4: Simplify right side
    598,083.74x = 280,605,464,177.36
  5. Step 5: Solve for x
    x = 280,605,464,177.36/598,083.74
  6. Step 6: Final answer
    x = 469,174.21

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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.