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Finding the Fourth Proportional to 297,834.75, 446,807.49 and 98,169.18

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Solution

The fourth proportional to 297,834.75, 446,807.49 and 98,169.18 is: 147,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,834.75 : 446,807.49 = 98,169.18 : x
  2. Step 2: Convert to fraction form
    297,834.75/446,807.49 = 98,169.18/x
  3. Step 3: Cross multiply
    297,834.75x = 446,807.49 × 98,169.18
  4. Step 4: Simplify right side
    297,834.75x = 43,862,724,911.16
  5. Step 5: Solve for x
    x = 43,862,724,911.16/297,834.75
  6. Step 6: Final answer
    x = 147,272.02

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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.