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Finding the Fourth Proportional to 332,002.90, 498,069.15 and 142,462.90

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Solution

The fourth proportional to 332,002.90, 498,069.15 and 142,462.90 is: 213,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,002.90 : 498,069.15 = 142,462.90 : x
  2. Step 2: Convert to fraction form
    332,002.90/498,069.15 = 142,462.90/x
  3. Step 3: Cross multiply
    332,002.90x = 498,069.15 × 142,462.90
  4. Step 4: Simplify right side
    332,002.90x = 70,956,375,509.54
  5. Step 5: Solve for x
    x = 70,956,375,509.54/332,002.90
  6. Step 6: Final answer
    x = 213,722.16

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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.