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Finding the Fourth Proportional to 413,195.40, 619,793.10 and 409,258.80

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Solution

The fourth proportional to 413,195.40, 619,793.10 and 409,258.80 is: 613,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,195.40 : 619,793.10 = 409,258.80 : x
  2. Step 2: Convert to fraction form
    413,195.40/619,793.10 = 409,258.80/x
  3. Step 3: Cross multiply
    413,195.40x = 619,793.10 × 409,258.80
  4. Step 4: Simplify right side
    413,195.40x = 253,655,780,354.28
  5. Step 5: Solve for x
    x = 253,655,780,354.28/413,195.40
  6. Step 6: Final answer
    x = 613,888.20

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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.