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Finding the Fourth Proportional to 298,296.84, 447,515.36 and 98,617.24

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Solution

The fourth proportional to 298,296.84, 447,515.36 and 98,617.24 is: 147,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296.84 : 447,515.36 = 98,617.24 : x
  2. Step 2: Convert to fraction form
    298,296.84/447,515.36 = 98,617.24/x
  3. Step 3: Cross multiply
    298,296.84x = 447,515.36 × 98,617.24
  4. Step 4: Simplify right side
    298,296.84x = 44,132,729,660.81
  5. Step 5: Solve for x
    x = 44,132,729,660.81/298,296.84
  6. Step 6: Final answer
    x = 147,949.04

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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.