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Finding the Fourth Proportional to 262,406.20, 393,609.30 and 209,918.20

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Solution

The fourth proportional to 262,406.20, 393,609.30 and 209,918.20 is: 314,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,406.20 : 393,609.30 = 209,918.20 : x
  2. Step 2: Convert to fraction form
    262,406.20/393,609.30 = 209,918.20/x
  3. Step 3: Cross multiply
    262,406.20x = 393,609.30 × 209,918.20
  4. Step 4: Simplify right side
    262,406.20x = 82,625,755,759.26
  5. Step 5: Solve for x
    x = 82,625,755,759.26/262,406.20
  6. Step 6: Final answer
    x = 314,877.30

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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.