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Finding the Fourth Proportional to 413,203.40, 619,805.10 and 409,266.80

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Solution

The fourth proportional to 413,203.40, 619,805.10 and 409,266.80 is: 613,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,203.40 : 619,805.10 = 409,266.80 : x
  2. Step 2: Convert to fraction form
    413,203.40/619,805.10 = 409,266.80/x
  3. Step 3: Cross multiply
    413,203.40x = 619,805.10 × 409,266.80
  4. Step 4: Simplify right side
    413,203.40x = 253,665,649,900.68
  5. Step 5: Solve for x
    x = 253,665,649,900.68/413,203.40
  6. Step 6: Final answer
    x = 613,900.20

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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.