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Finding the Fourth Proportional to 298,511.60, 447,767.40 and 98,862.80

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Solution

The fourth proportional to 298,511.60, 447,767.40 and 98,862.80 is: 148,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,511.60 : 447,767.40 = 98,862.80 : x
  2. Step 2: Convert to fraction form
    298,511.60/447,767.40 = 98,862.80/x
  3. Step 3: Cross multiply
    298,511.60x = 447,767.40 × 98,862.80
  4. Step 4: Simplify right side
    298,511.60x = 44,267,538,912.72
  5. Step 5: Solve for x
    x = 44,267,538,912.72/298,511.60
  6. Step 6: Final answer
    x = 148,294.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.