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Finding the Fourth Proportional to 206,416.20, 309,624.30 and 174,923.40

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Solution

The fourth proportional to 206,416.20, 309,624.30 and 174,923.40 is: 262,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.20 : 309,624.30 = 174,923.40 : x
  2. Step 2: Convert to fraction form
    206,416.20/309,624.30 = 174,923.40/x
  3. Step 3: Cross multiply
    206,416.20x = 309,624.30 × 174,923.40
  4. Step 4: Simplify right side
    206,416.20x = 54,160,535,278.62
  5. Step 5: Solve for x
    x = 54,160,535,278.62/206,416.20
  6. Step 6: Final answer
    x = 262,385.10

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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.