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Finding the Fourth Proportional to 414,332.67, 621,512.38 and 114,816.14

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Solution

The fourth proportional to 414,332.67, 621,512.38 and 114,816.14 is: 172,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,332.67 : 621,512.38 = 114,816.14 : x
  2. Step 2: Convert to fraction form
    414,332.67/621,512.38 = 114,816.14/x
  3. Step 3: Cross multiply
    414,332.67x = 621,512.38 × 114,816.14
  4. Step 4: Simplify right side
    414,332.67x = 71,359,652,433.81
  5. Step 5: Solve for x
    x = 71,359,652,433.81/414,332.67
  6. Step 6: Final answer
    x = 172,227.92

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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.