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Finding the Fourth Proportional to 301,629, 416,248.02 and 167,493

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Solution

The fourth proportional to 301,629, 416,248.02 and 167,493 is: 231,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,629 : 416,248.02 = 167,493 : x
  2. Step 2: Convert to fraction form
    301,629/416,248.02 = 167,493/x
  3. Step 3: Cross multiply
    301,629x = 416,248.02 × 167,493
  4. Step 4: Simplify right side
    301,629x = 69,718,629,613.86
  5. Step 5: Solve for x
    x = 69,718,629,613.86/301,629
  6. Step 6: Final answer
    x = 231,140.34

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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.