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Finding the Fourth Proportional to 417,874.32, 576,678.24 and 226,899.36

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Solution

The fourth proportional to 417,874.32, 576,678.24 and 226,899.36 is: 313,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,874.32 : 576,678.24 = 226,899.36 : x
  2. Step 2: Convert to fraction form
    417,874.32/576,678.24 = 226,899.36/x
  3. Step 3: Cross multiply
    417,874.32x = 576,678.24 × 226,899.36
  4. Step 4: Simplify right side
    417,874.32x = 130,847,923,581.93
  5. Step 5: Solve for x
    x = 130,847,923,581.93/417,874.32
  6. Step 6: Final answer
    x = 313,127.46

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