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Finding the Fourth Proportional to 417,677.28, 576,395.16 and 226,690.64

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Solution

The fourth proportional to 417,677.28, 576,395.16 and 226,690.64 is: 312,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,677.28 : 576,395.16 = 226,690.64 : x
  2. Step 2: Convert to fraction form
    417,677.28/576,395.16 = 226,690.64/x
  3. Step 3: Cross multiply
    417,677.28x = 576,395.16 × 226,690.64
  4. Step 4: Simplify right side
    417,677.28x = 130,663,387,713.30
  5. Step 5: Solve for x
    x = 130,663,387,713.30/417,677.28
  6. Step 6: Final answer
    x = 312,833.36

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1.5x scale

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.