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Finding the Fourth Proportional to 598,060.19, 825,343.75 and 339,947.95

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Solution

The fourth proportional to 598,060.19, 825,343.75 and 339,947.95 is: 469,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,060.19 : 825,343.75 = 339,947.95 : x
  2. Step 2: Convert to fraction form
    598,060.19/825,343.75 = 339,947.95/x
  3. Step 3: Cross multiply
    598,060.19x = 825,343.75 × 339,947.95
  4. Step 4: Simplify right side
    598,060.19x = 280,573,914,401.73
  5. Step 5: Solve for x
    x = 280,573,914,401.73/598,060.19
  6. Step 6: Final answer
    x = 469,139.93

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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.