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Finding the Fourth Proportional to 416,838.34, 575,233.14 and 225,851.14

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Solution

The fourth proportional to 416,838.34, 575,233.14 and 225,851.14 is: 311,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,838.34 : 575,233.14 = 225,851.14 : x
  2. Step 2: Convert to fraction form
    416,838.34/575,233.14 = 225,851.14/x
  3. Step 3: Cross multiply
    416,838.34x = 575,233.14 × 225,851.14
  4. Step 4: Simplify right side
    416,838.34x = 129,917,060,434.78
  5. Step 5: Solve for x
    x = 129,917,060,434.78/416,838.34
  6. Step 6: Final answer
    x = 311,672.53

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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.