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Finding the Fourth Proportional to 417,673.64, 576,375 and 226,683.20

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Solution

The fourth proportional to 417,673.64, 576,375 and 226,683.20 is: 312,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,673.64 : 576,375 = 226,683.20 : x
  2. Step 2: Convert to fraction form
    417,673.64/576,375 = 226,683.20/x
  3. Step 3: Cross multiply
    417,673.64x = 576,375 × 226,683.20
  4. Step 4: Simplify right side
    417,673.64x = 130,654,529,400
  5. Step 5: Solve for x
    x = 130,654,529,400/417,673.64
  6. Step 6: Final answer
    x = 312,814.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.