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Finding the Fourth Proportional to 408,114.40, 611,734.20 and 155,297.20

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Solution

The fourth proportional to 408,114.40, 611,734.20 and 155,297.20 is: 232,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,114.40 : 611,734.20 = 155,297.20 : x
  2. Step 2: Convert to fraction form
    408,114.40/611,734.20 = 155,297.20/x
  3. Step 3: Cross multiply
    408,114.40x = 611,734.20 × 155,297.20
  4. Step 4: Simplify right side
    408,114.40x = 95,000,608,404.24
  5. Step 5: Solve for x
    x = 95,000,608,404.24/408,114.40
  6. Step 6: Final answer
    x = 232,779.36

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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.