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Finding the Fourth Proportional to 591,902.64, 816,625.76 and 337,073.36

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Solution

The fourth proportional to 591,902.64, 816,625.76 and 337,073.36 is: 465,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,902.64 : 816,625.76 = 337,073.36 : x
  2. Step 2: Convert to fraction form
    591,902.64/816,625.76 = 337,073.36/x
  3. Step 3: Cross multiply
    591,902.64x = 816,625.76 × 337,073.36
  4. Step 4: Simplify right side
    591,902.64x = 275,262,788,785.75
  5. Step 5: Solve for x
    x = 275,262,788,785.75/591,902.64
  6. Step 6: Final answer
    x = 465,047.41

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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.