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Finding the Fourth Proportional to 417,610.75, 576,304.38 and 226,624.09

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Solution

The fourth proportional to 417,610.75, 576,304.38 and 226,624.09 is: 312,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,610.75 : 576,304.38 = 226,624.09 : x
  2. Step 2: Convert to fraction form
    417,610.75/576,304.38 = 226,624.09/x
  3. Step 3: Cross multiply
    417,610.75x = 576,304.38 × 226,624.09
  4. Step 4: Simplify right side
    417,610.75x = 130,604,455,680.51
  5. Step 5: Solve for x
    x = 130,604,455,680.51/417,610.75
  6. Step 6: Final answer
    x = 312,742.08

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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.