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Finding the Fourth Proportional to 417,614.70, 576,308.66 and 226,628.09

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Solution

The fourth proportional to 417,614.70, 576,308.66 and 226,628.09 is: 312,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,614.70 : 576,308.66 = 226,628.09 : x
  2. Step 2: Convert to fraction form
    417,614.70/576,308.66 = 226,628.09/x
  3. Step 3: Cross multiply
    417,614.70x = 576,308.66 × 226,628.09
  4. Step 4: Simplify right side
    417,614.70x = 130,607,729,733.12
  5. Step 5: Solve for x
    x = 130,607,729,733.12/417,614.70
  6. Step 6: Final answer
    x = 312,746.96

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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.