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Finding the Fourth Proportional to 417,624, 576,321.53 and 226,637.43

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Solution

The fourth proportional to 417,624, 576,321.53 and 226,637.43 is: 312,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,624 : 576,321.53 = 226,637.43 : x
  2. Step 2: Convert to fraction form
    417,624/576,321.53 = 226,637.43/x
  3. Step 3: Cross multiply
    417,624x = 576,321.53 × 226,637.43
  4. Step 4: Simplify right side
    417,624x = 130,616,029,279.68
  5. Step 5: Solve for x
    x = 130,616,029,279.68/417,624
  6. Step 6: Final answer
    x = 312,759.87

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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.