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Finding the Fourth Proportional to 416,838.79, 575,237.67 and 225,852.20

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Solution

The fourth proportional to 416,838.79, 575,237.67 and 225,852.20 is: 311,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,838.79 : 575,237.67 = 225,852.20 : x
  2. Step 2: Convert to fraction form
    416,838.79/575,237.67 = 225,852.20/x
  3. Step 3: Cross multiply
    416,838.79x = 575,237.67 × 225,852.20
  4. Step 4: Simplify right side
    416,838.79x = 129,918,691,726.38
  5. Step 5: Solve for x
    x = 129,918,691,726.38/416,838.79
  6. Step 6: Final answer
    x = 311,676.11

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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.