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Finding the Fourth Proportional to 417,921.66, 576,728.10 and 226,923.66

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Solution

The fourth proportional to 417,921.66, 576,728.10 and 226,923.66 is: 313,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,921.66 : 576,728.10 = 226,923.66 : x
  2. Step 2: Convert to fraction form
    417,921.66/576,728.10 = 226,923.66/x
  3. Step 3: Cross multiply
    417,921.66x = 576,728.10 × 226,923.66
  4. Step 4: Simplify right side
    417,921.66x = 130,873,251,276.85
  5. Step 5: Solve for x
    x = 130,873,251,276.85/417,921.66
  6. Step 6: Final answer
    x = 313,152.59

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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.