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Finding the Fourth Proportional to 416,837.99, 575,236.80 and 225,851.38

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Solution

The fourth proportional to 416,837.99, 575,236.80 and 225,851.38 is: 311,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,837.99 : 575,236.80 = 225,851.38 : x
  2. Step 2: Convert to fraction form
    416,837.99/575,236.80 = 225,851.38/x
  3. Step 3: Cross multiply
    416,837.99x = 575,236.80 × 225,851.38
  4. Step 4: Simplify right side
    416,837.99x = 129,918,023,177.37
  5. Step 5: Solve for x
    x = 129,918,023,177.37/416,837.99
  6. Step 6: Final answer
    x = 311,675.11

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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.