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Finding the Fourth Proportional to 402,452.20, 603,678.30 and 181,268.20

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Solution

The fourth proportional to 402,452.20, 603,678.30 and 181,268.20 is: 271,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,452.20 : 603,678.30 = 181,268.20 : x
  2. Step 2: Convert to fraction form
    402,452.20/603,678.30 = 181,268.20/x
  3. Step 3: Cross multiply
    402,452.20x = 603,678.30 × 181,268.20
  4. Step 4: Simplify right side
    402,452.20x = 109,427,678,820.06
  5. Step 5: Solve for x
    x = 109,427,678,820.06/402,452.20
  6. Step 6: Final answer
    x = 271,902.30

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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.