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Finding the Fourth Proportional to 416,788.54, 575,168.78 and 225,801.92

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Solution

The fourth proportional to 416,788.54, 575,168.78 and 225,801.92 is: 311,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,788.54 : 575,168.78 = 225,801.92 : x
  2. Step 2: Convert to fraction form
    416,788.54/575,168.78 = 225,801.92/x
  3. Step 3: Cross multiply
    416,788.54x = 575,168.78 × 225,801.92
  4. Step 4: Simplify right side
    416,788.54x = 129,874,214,848.06
  5. Step 5: Solve for x
    x = 129,874,214,848.06/416,788.54
  6. Step 6: Final answer
    x = 311,606.97

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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.