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Finding the Fourth Proportional to 417,696.01, 576,421.02 and 226,709.46

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Solution

The fourth proportional to 417,696.01, 576,421.02 and 226,709.46 is: 312,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696.01 : 576,421.02 = 226,709.46 : x
  2. Step 2: Convert to fraction form
    417,696.01/576,421.02 = 226,709.46/x
  3. Step 3: Cross multiply
    417,696.01x = 576,421.02 × 226,709.46
  4. Step 4: Simplify right side
    417,696.01x = 130,680,098,176.85
  5. Step 5: Solve for x
    x = 130,680,098,176.85/417,696.01
  6. Step 6: Final answer
    x = 312,859.34

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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.