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Finding the Fourth Proportional to 312,348.35, 431,767.10 and 278,690.42

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Solution

The fourth proportional to 312,348.35, 431,767.10 and 278,690.42 is: 385,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,348.35 : 431,767.10 = 278,690.42 : x
  2. Step 2: Convert to fraction form
    312,348.35/431,767.10 = 278,690.42/x
  3. Step 3: Cross multiply
    312,348.35x = 431,767.10 × 278,690.42
  4. Step 4: Simplify right side
    312,348.35x = 120,329,354,441.18
  5. Step 5: Solve for x
    x = 120,329,354,441.18/312,348.35
  6. Step 6: Final answer
    x = 385,240.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.