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Finding the Fourth Proportional to 342,213.80, 513,320.70 and 200,496.20

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Solution

The fourth proportional to 342,213.80, 513,320.70 and 200,496.20 is: 300,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,213.80 : 513,320.70 = 200,496.20 : x
  2. Step 2: Convert to fraction form
    342,213.80/513,320.70 = 200,496.20/x
  3. Step 3: Cross multiply
    342,213.80x = 513,320.70 × 200,496.20
  4. Step 4: Simplify right side
    342,213.80x = 102,918,849,731.34
  5. Step 5: Solve for x
    x = 102,918,849,731.34/342,213.80
  6. Step 6: Final answer
    x = 300,744.30

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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.