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Finding the Fourth Proportional to 484,041.24, 726,107.38 and 142,484.88

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Solution

The fourth proportional to 484,041.24, 726,107.38 and 142,484.88 is: 213,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,041.24 : 726,107.38 = 142,484.88 : x
  2. Step 2: Convert to fraction form
    484,041.24/726,107.38 = 142,484.88/x
  3. Step 3: Cross multiply
    484,041.24x = 726,107.38 × 142,484.88
  4. Step 4: Simplify right side
    484,041.24x = 103,459,322,906.41
  5. Step 5: Solve for x
    x = 103,459,322,906.41/484,041.24
  6. Step 6: Final answer
    x = 213,740.72

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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.