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Finding the Fourth Proportional to 381,333.96, 526,230.84 and 209,251.40

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Solution

The fourth proportional to 381,333.96, 526,230.84 and 209,251.40 is: 288,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,333.96 : 526,230.84 = 209,251.40 : x
  2. Step 2: Convert to fraction form
    381,333.96/526,230.84 = 209,251.40/x
  3. Step 3: Cross multiply
    381,333.96x = 526,230.84 × 209,251.40
  4. Step 4: Simplify right side
    381,333.96x = 110,114,539,993.18
  5. Step 5: Solve for x
    x = 110,114,539,993.18/381,333.96
  6. Step 6: Final answer
    x = 288,761.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.