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Finding the Fourth Proportional to 341,642.55, 471,430.92 and 198,374.61

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Solution

The fourth proportional to 341,642.55, 471,430.92 and 198,374.61 is: 273,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,642.55 : 471,430.92 = 198,374.61 : x
  2. Step 2: Convert to fraction form
    341,642.55/471,430.92 = 198,374.61/x
  3. Step 3: Cross multiply
    341,642.55x = 471,430.92 × 198,374.61
  4. Step 4: Simplify right side
    341,642.55x = 93,519,924,896.94
  5. Step 5: Solve for x
    x = 93,519,924,896.94/341,642.55
  6. Step 6: Final answer
    x = 273,736.18

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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.