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Finding the Fourth Proportional to 417,105.60, 575,608.68 and 226,122

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Solution

The fourth proportional to 417,105.60, 575,608.68 and 226,122 is: 312,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,105.60 : 575,608.68 = 226,122 : x
  2. Step 2: Convert to fraction form
    417,105.60/575,608.68 = 226,122/x
  3. Step 3: Cross multiply
    417,105.60x = 575,608.68 × 226,122
  4. Step 4: Simplify right side
    417,105.60x = 130,157,785,938.96
  5. Step 5: Solve for x
    x = 130,157,785,938.96/417,105.60
  6. Step 6: Final answer
    x = 312,049.96

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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.