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Finding the Fourth Proportional to 417,615.12, 576,308.85 and 226,628.51

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Solution

The fourth proportional to 417,615.12, 576,308.85 and 226,628.51 is: 312,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,615.12 : 576,308.85 = 226,628.51 : x
  2. Step 2: Convert to fraction form
    417,615.12/576,308.85 = 226,628.51/x
  3. Step 3: Cross multiply
    417,615.12x = 576,308.85 × 226,628.51
  4. Step 4: Simplify right side
    417,615.12x = 130,608,016,849.51
  5. Step 5: Solve for x
    x = 130,608,016,849.51/417,615.12
  6. Step 6: Final answer
    x = 312,747.34

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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.