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Finding the Fourth Proportional to 206,473.20, 309,709.80 and 174,980.40

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Solution

The fourth proportional to 206,473.20, 309,709.80 and 174,980.40 is: 262,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,473.20 : 309,709.80 = 174,980.40 : x
  2. Step 2: Convert to fraction form
    206,473.20/309,709.80 = 174,980.40/x
  3. Step 3: Cross multiply
    206,473.20x = 309,709.80 × 174,980.40
  4. Step 4: Simplify right side
    206,473.20x = 54,193,144,687.92
  5. Step 5: Solve for x
    x = 54,193,144,687.92/206,473.20
  6. Step 6: Final answer
    x = 262,470.60

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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.