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Finding the Fourth Proportional to 398,355.20, 597,638.40 and 173,619.20

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Solution

The fourth proportional to 398,355.20, 597,638.40 and 173,619.20 is: 260,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,355.20 : 597,638.40 = 173,619.20 : x
  2. Step 2: Convert to fraction form
    398,355.20/597,638.40 = 173,619.20/x
  3. Step 3: Cross multiply
    398,355.20x = 597,638.40 × 173,619.20
  4. Step 4: Simplify right side
    398,355.20x = 103,761,500,897.28
  5. Step 5: Solve for x
    x = 103,761,500,897.28/398,355.20
  6. Step 6: Final answer
    x = 260,474.82

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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.