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Finding the Fourth Proportional to 499,909.65, 749,710.17 and 144,949.83

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Solution

The fourth proportional to 499,909.65, 749,710.17 and 144,949.83 is: 217,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,909.65 : 749,710.17 = 144,949.83 : x
  2. Step 2: Convert to fraction form
    499,909.65/749,710.17 = 144,949.83/x
  3. Step 3: Cross multiply
    499,909.65x = 749,710.17 × 144,949.83
  4. Step 4: Simplify right side
    499,909.65x = 108,670,361,690.77
  5. Step 5: Solve for x
    x = 108,670,361,690.77/499,909.65
  6. Step 6: Final answer
    x = 217,380.00

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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.