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Finding the Fourth Proportional to 298,651.10, 447,751.40 and 180,294.30

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Solution

The fourth proportional to 298,651.10, 447,751.40 and 180,294.30 is: 270,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,651.10 : 447,751.40 = 180,294.30 : x
  2. Step 2: Convert to fraction form
    298,651.10/447,751.40 = 180,294.30/x
  3. Step 3: Cross multiply
    298,651.10x = 447,751.40 × 180,294.30
  4. Step 4: Simplify right side
    298,651.10x = 80,727,024,335.55
  5. Step 5: Solve for x
    x = 80,727,024,335.55/298,651.10
  6. Step 6: Final answer
    x = 270,305.47

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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.