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Finding the Fourth Proportional to 417,634.64, 576,613.32 and 247,923.28

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Solution

The fourth proportional to 417,634.64, 576,613.32 and 247,923.28 is: 342,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,634.64 : 576,613.32 = 247,923.28 : x
  2. Step 2: Convert to fraction form
    417,634.64/576,613.32 = 247,923.28/x
  3. Step 3: Cross multiply
    417,634.64x = 576,613.32 × 247,923.28
  4. Step 4: Simplify right side
    417,634.64x = 142,955,865,586.09
  5. Step 5: Solve for x
    x = 142,955,865,586.09/417,634.64
  6. Step 6: Final answer
    x = 342,298.87

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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.