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Finding the Fourth Proportional to 298,132.84, 447,199.26 and 204,354.28

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Solution

The fourth proportional to 298,132.84, 447,199.26 and 204,354.28 is: 306,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,132.84 : 447,199.26 = 204,354.28 : x
  2. Step 2: Convert to fraction form
    298,132.84/447,199.26 = 204,354.28/x
  3. Step 3: Cross multiply
    298,132.84x = 447,199.26 × 204,354.28
  4. Step 4: Simplify right side
    298,132.84x = 91,387,082,793.83
  5. Step 5: Solve for x
    x = 91,387,082,793.83/298,132.84
  6. Step 6: Final answer
    x = 306,531.42

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1.5x scale

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.