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Finding the Fourth Proportional to 381,774.28, 526,854.84 and 209,708.20

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Solution

The fourth proportional to 381,774.28, 526,854.84 and 209,708.20 is: 289,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,774.28 : 526,854.84 = 209,708.20 : x
  2. Step 2: Convert to fraction form
    381,774.28/526,854.84 = 209,708.20/x
  3. Step 3: Cross multiply
    381,774.28x = 526,854.84 × 209,708.20
  4. Step 4: Simplify right side
    381,774.28x = 110,485,780,157.69
  5. Step 5: Solve for x
    x = 110,485,780,157.69/381,774.28
  6. Step 6: Final answer
    x = 289,400.80

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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.