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Finding the Fourth Proportional to 417,471.32, 576,110.63 and 226,484.66

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Solution

The fourth proportional to 417,471.32, 576,110.63 and 226,484.66 is: 312,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,471.32 : 576,110.63 = 226,484.66 : x
  2. Step 2: Convert to fraction form
    417,471.32/576,110.63 = 226,484.66/x
  3. Step 3: Cross multiply
    417,471.32x = 576,110.63 × 226,484.66
  4. Step 4: Simplify right side
    417,471.32x = 130,480,216,144.96
  5. Step 5: Solve for x
    x = 130,480,216,144.96/417,471.32
  6. Step 6: Final answer
    x = 312,548.94

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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.