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Finding the Fourth Proportional to 412,776.88, 619,165.36 and 272,502.72

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Solution

The fourth proportional to 412,776.88, 619,165.36 and 272,502.72 is: 408,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,776.88 : 619,165.36 = 272,502.72 : x
  2. Step 2: Convert to fraction form
    412,776.88/619,165.36 = 272,502.72/x
  3. Step 3: Cross multiply
    412,776.88x = 619,165.36 × 272,502.72
  4. Step 4: Simplify right side
    412,776.88x = 168,724,244,729.78
  5. Step 5: Solve for x
    x = 168,724,244,729.78/412,776.88
  6. Step 6: Final answer
    x = 408,754.11

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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.