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Finding the Fourth Proportional to 417,527.92, 576,195.22 and 226,541.31

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Solution

The fourth proportional to 417,527.92, 576,195.22 and 226,541.31 is: 312,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,527.92 : 576,195.22 = 226,541.31 : x
  2. Step 2: Convert to fraction form
    417,527.92/576,195.22 = 226,541.31/x
  3. Step 3: Cross multiply
    417,527.92x = 576,195.22 × 226,541.31
  4. Step 4: Simplify right side
    417,527.92x = 130,532,018,076.98
  5. Step 5: Solve for x
    x = 130,532,018,076.98/417,527.92
  6. Step 6: Final answer
    x = 312,630.64

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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.