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Finding the Fourth Proportional to 412,184.72, 618,365.79 and 127,869.57

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Solution

The fourth proportional to 412,184.72, 618,365.79 and 127,869.57 is: 191,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,184.72 : 618,365.79 = 127,869.57 : x
  2. Step 2: Convert to fraction form
    412,184.72/618,365.79 = 127,869.57/x
  3. Step 3: Cross multiply
    412,184.72x = 618,365.79 × 127,869.57
  4. Step 4: Simplify right side
    412,184.72x = 79,070,167,670.01
  5. Step 5: Solve for x
    x = 79,070,167,670.01/412,184.72
  6. Step 6: Final answer
    x = 191,831.87

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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.