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Finding the Fourth Proportional to 490,057.40, 686,780.20 and 490,057.40

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Solution

The fourth proportional to 490,057.40, 686,780.20 and 490,057.40 is: 686,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,057.40 : 686,780.20 = 490,057.40 : x
  2. Step 2: Convert to fraction form
    490,057.40/686,780.20 = 490,057.40/x
  3. Step 3: Cross multiply
    490,057.40x = 686,780.20 × 490,057.40
  4. Step 4: Simplify right side
    490,057.40x = 336,561,719,183.48
  5. Step 5: Solve for x
    x = 336,561,719,183.48/490,057.40
  6. Step 6: Final answer
    x = 686,780.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.