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Finding the Fourth Proportional to 412,158.24, 618,456.24 and 162,842.40

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Solution

The fourth proportional to 412,158.24, 618,456.24 and 162,842.40 is: 244,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,158.24 : 618,456.24 = 162,842.40 : x
  2. Step 2: Convert to fraction form
    412,158.24/618,456.24 = 162,842.40/x
  3. Step 3: Cross multiply
    412,158.24x = 618,456.24 × 162,842.40
  4. Step 4: Simplify right side
    412,158.24x = 100,710,898,416.58
  5. Step 5: Solve for x
    x = 100,710,898,416.58/412,158.24
  6. Step 6: Final answer
    x = 244,350.08

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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.