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Finding the Fourth Proportional to 334,617.78, 461,569.68 and 198,562.08

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Solution

The fourth proportional to 334,617.78, 461,569.68 and 198,562.08 is: 273,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,617.78 : 461,569.68 = 198,562.08 : x
  2. Step 2: Convert to fraction form
    334,617.78/461,569.68 = 198,562.08/x
  3. Step 3: Cross multiply
    334,617.78x = 461,569.68 × 198,562.08
  4. Step 4: Simplify right side
    334,617.78x = 91,650,235,725.73
  5. Step 5: Solve for x
    x = 91,650,235,725.73/334,617.78
  6. Step 6: Final answer
    x = 273,895.30

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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.