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Finding the Fourth Proportional to 297,876.80, 446,858.40 and 98,163.20

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Solution

The fourth proportional to 297,876.80, 446,858.40 and 98,163.20 is: 147,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,876.80 : 446,858.40 = 98,163.20 : x
  2. Step 2: Convert to fraction form
    297,876.80/446,858.40 = 98,163.20/x
  3. Step 3: Cross multiply
    297,876.80x = 446,858.40 × 98,163.20
  4. Step 4: Simplify right side
    297,876.80x = 43,865,050,490.88
  5. Step 5: Solve for x
    x = 43,865,050,490.88/297,876.80
  6. Step 6: Final answer
    x = 147,259.04

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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.