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Finding the Fourth Proportional to 354,951.04, 489,833.46 and 193,807.48

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Solution

The fourth proportional to 354,951.04, 489,833.46 and 193,807.48 is: 267,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,951.04 : 489,833.46 = 193,807.48 : x
  2. Step 2: Convert to fraction form
    354,951.04/489,833.46 = 193,807.48/x
  3. Step 3: Cross multiply
    354,951.04x = 489,833.46 × 193,807.48
  4. Step 4: Simplify right side
    354,951.04x = 94,933,388,502.28
  5. Step 5: Solve for x
    x = 94,933,388,502.28/354,951.04
  6. Step 6: Final answer
    x = 267,454.88

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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.