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Finding the Fourth Proportional to 269,200.20, 403,314.30 and 156,788.40

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Solution

The fourth proportional to 269,200.20, 403,314.30 and 156,788.40 is: 234,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200.20 : 403,314.30 = 156,788.40 : x
  2. Step 2: Convert to fraction form
    269,200.20/403,314.30 = 156,788.40/x
  3. Step 3: Cross multiply
    269,200.20x = 403,314.30 × 156,788.40
  4. Step 4: Simplify right side
    269,200.20x = 63,235,003,794.12
  5. Step 5: Solve for x
    x = 63,235,003,794.12/269,200.20
  6. Step 6: Final answer
    x = 234,899.54

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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.