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Finding the Fourth Proportional to 298,217.16, 447,371.10 and 98,558.64

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Solution

The fourth proportional to 298,217.16, 447,371.10 and 98,558.64 is: 147,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,217.16 : 447,371.10 = 98,558.64 : x
  2. Step 2: Convert to fraction form
    298,217.16/447,371.10 = 98,558.64/x
  3. Step 3: Cross multiply
    298,217.16x = 447,371.10 × 98,558.64
  4. Step 4: Simplify right side
    298,217.16x = 44,092,287,191.30
  5. Step 5: Solve for x
    x = 44,092,287,191.30/298,217.16
  6. Step 6: Final answer
    x = 147,852.95

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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.