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Finding the Fourth Proportional to 412,740.77, 619,007.28 and 159,934.52

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Solution

The fourth proportional to 412,740.77, 619,007.28 and 159,934.52 is: 239,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,740.77 : 619,007.28 = 159,934.52 : x
  2. Step 2: Convert to fraction form
    412,740.77/619,007.28 = 159,934.52/x
  3. Step 3: Cross multiply
    412,740.77x = 619,007.28 × 159,934.52
  4. Step 4: Simplify right side
    412,740.77x = 99,000,632,203.31
  5. Step 5: Solve for x
    x = 99,000,632,203.31/412,740.77
  6. Step 6: Final answer
    x = 239,861.53

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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.