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Finding the Fourth Proportional to 412,767.98, 619,152.63 and 113,252.66

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Solution

The fourth proportional to 412,767.98, 619,152.63 and 113,252.66 is: 169,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,767.98 : 619,152.63 = 113,252.66 : x
  2. Step 2: Convert to fraction form
    412,767.98/619,152.63 = 113,252.66/x
  3. Step 3: Cross multiply
    412,767.98x = 619,152.63 × 113,252.66
  4. Step 4: Simplify right side
    412,767.98x = 70,120,682,293.50
  5. Step 5: Solve for x
    x = 70,120,682,293.50/412,767.98
  6. Step 6: Final answer
    x = 169,879.17

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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.