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Finding the Fourth Proportional to 309,934.80, 464,902.20 and 257,446.80

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Solution

The fourth proportional to 309,934.80, 464,902.20 and 257,446.80 is: 386,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,934.80 : 464,902.20 = 257,446.80 : x
  2. Step 2: Convert to fraction form
    309,934.80/464,902.20 = 257,446.80/x
  3. Step 3: Cross multiply
    309,934.80x = 464,902.20 × 257,446.80
  4. Step 4: Simplify right side
    309,934.80x = 119,687,583,702.96
  5. Step 5: Solve for x
    x = 119,687,583,702.96/309,934.80
  6. Step 6: Final answer
    x = 386,170.20

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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.