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Finding the Fourth Proportional to 354,517.34, 489,146.46 and 216,661.10

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Solution

The fourth proportional to 354,517.34, 489,146.46 and 216,661.10 is: 298,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,517.34 : 489,146.46 = 216,661.10 : x
  2. Step 2: Convert to fraction form
    354,517.34/489,146.46 = 216,661.10/x
  3. Step 3: Cross multiply
    354,517.34x = 489,146.46 × 216,661.10
  4. Step 4: Simplify right side
    354,517.34x = 105,979,010,084.71
  5. Step 5: Solve for x
    x = 105,979,010,084.71/354,517.34
  6. Step 6: Final answer
    x = 298,938.86

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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.