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Finding the Fourth Proportional to 558,833.20, 838,282.20 and 159,503.20

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Solution

The fourth proportional to 558,833.20, 838,282.20 and 159,503.20 is: 239,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,833.20 : 838,282.20 = 159,503.20 : x
  2. Step 2: Convert to fraction form
    558,833.20/838,282.20 = 159,503.20/x
  3. Step 3: Cross multiply
    558,833.20x = 838,282.20 × 159,503.20
  4. Step 4: Simplify right side
    558,833.20x = 133,708,693,403.04
  5. Step 5: Solve for x
    x = 133,708,693,403.04/558,833.20
  6. Step 6: Final answer
    x = 239,264.05

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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.