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Finding the Fourth Proportional to 445,332.38, 614,624.34 and 282,003.79

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Solution

The fourth proportional to 445,332.38, 614,624.34 and 282,003.79 is: 389,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,332.38 : 614,624.34 = 282,003.79 : x
  2. Step 2: Convert to fraction form
    445,332.38/614,624.34 = 282,003.79/x
  3. Step 3: Cross multiply
    445,332.38x = 614,624.34 × 282,003.79
  4. Step 4: Simplify right side
    445,332.38x = 173,326,393,306.25
  5. Step 5: Solve for x
    x = 173,326,393,306.25/445,332.38
  6. Step 6: Final answer
    x = 389,206.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.