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Finding the Fourth Proportional to 259,315.40, 389,264.70 and 200,412.20

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Solution

The fourth proportional to 259,315.40, 389,264.70 and 200,412.20 is: 300,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,315.40 : 389,264.70 = 200,412.20 : x
  2. Step 2: Convert to fraction form
    259,315.40/389,264.70 = 200,412.20/x
  3. Step 3: Cross multiply
    259,315.40x = 389,264.70 × 200,412.20
  4. Step 4: Simplify right side
    259,315.40x = 78,013,394,909.34
  5. Step 5: Solve for x
    x = 78,013,394,909.34/259,315.40
  6. Step 6: Final answer
    x = 300,843.66

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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.