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Finding the Fourth Proportional to 410,749.92, 566,828.64 and 229,464.45

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Solution

The fourth proportional to 410,749.92, 566,828.64 and 229,464.45 is: 316,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,749.92 : 566,828.64 = 229,464.45 : x
  2. Step 2: Convert to fraction form
    410,749.92/566,828.64 = 229,464.45/x
  3. Step 3: Cross multiply
    410,749.92x = 566,828.64 × 229,464.45
  4. Step 4: Simplify right side
    410,749.92x = 130,067,022,121.85
  5. Step 5: Solve for x
    x = 130,067,022,121.85/410,749.92
  6. Step 6: Final answer
    x = 316,657.45

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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.