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Finding the Fourth Proportional to 392,982.95, 589,545.70 and 224,693.03

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Solution

The fourth proportional to 392,982.95, 589,545.70 and 224,693.03 is: 337,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,982.95 : 589,545.70 = 224,693.03 : x
  2. Step 2: Convert to fraction form
    392,982.95/589,545.70 = 224,693.03/x
  3. Step 3: Cross multiply
    392,982.95x = 589,545.70 × 224,693.03
  4. Step 4: Simplify right side
    392,982.95x = 132,466,809,656.47
  5. Step 5: Solve for x
    x = 132,466,809,656.47/392,982.95
  6. Step 6: Final answer
    x = 337,080.30

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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.