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Finding the Fourth Proportional to 309,714.80, 464,572.20 and 191,519.60

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Solution

The fourth proportional to 309,714.80, 464,572.20 and 191,519.60 is: 287,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,714.80 : 464,572.20 = 191,519.60 : x
  2. Step 2: Convert to fraction form
    309,714.80/464,572.20 = 191,519.60/x
  3. Step 3: Cross multiply
    309,714.80x = 464,572.20 × 191,519.60
  4. Step 4: Simplify right side
    309,714.80x = 88,974,681,915.12
  5. Step 5: Solve for x
    x = 88,974,681,915.12/309,714.80
  6. Step 6: Final answer
    x = 287,279.40

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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.