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Finding the Fourth Proportional to 413,151.80, 619,727.70 and 147,212.60

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Solution

The fourth proportional to 413,151.80, 619,727.70 and 147,212.60 is: 220,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,151.80 : 619,727.70 = 147,212.60 : x
  2. Step 2: Convert to fraction form
    413,151.80/619,727.70 = 147,212.60/x
  3. Step 3: Cross multiply
    413,151.80x = 619,727.70 × 147,212.60
  4. Step 4: Simplify right side
    413,151.80x = 91,231,726,009.02
  5. Step 5: Solve for x
    x = 91,231,726,009.02/413,151.80
  6. Step 6: Final answer
    x = 220,818.90

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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.