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Finding the Fourth Proportional to 407,657.80, 611,195.10 and 182,834.20

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Solution

The fourth proportional to 407,657.80, 611,195.10 and 182,834.20 is: 274,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,657.80 : 611,195.10 = 182,834.20 : x
  2. Step 2: Convert to fraction form
    407,657.80/611,195.10 = 182,834.20/x
  3. Step 3: Cross multiply
    407,657.80x = 611,195.10 × 182,834.20
  4. Step 4: Simplify right side
    407,657.80x = 111,747,367,152.42
  5. Step 5: Solve for x
    x = 111,747,367,152.42/407,657.80
  6. Step 6: Final answer
    x = 274,120.52

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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.