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Finding the Fourth Proportional to 412,695.92, 619,182.36 and 159,984.65

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Solution

The fourth proportional to 412,695.92, 619,182.36 and 159,984.65 is: 240,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,695.92 : 619,182.36 = 159,984.65 : x
  2. Step 2: Convert to fraction form
    412,695.92/619,182.36 = 159,984.65/x
  3. Step 3: Cross multiply
    412,695.92x = 619,182.36 × 159,984.65
  4. Step 4: Simplify right side
    412,695.92x = 99,059,673,150.77
  5. Step 5: Solve for x
    x = 99,059,673,150.77/412,695.92
  6. Step 6: Final answer
    x = 240,030.66

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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.