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Finding the Fourth Proportional to 381,338.58, 526,245.78 and 209,259.42

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Solution

The fourth proportional to 381,338.58, 526,245.78 and 209,259.42 is: 288,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,338.58 : 526,245.78 = 209,259.42 : x
  2. Step 2: Convert to fraction form
    381,338.58/526,245.78 = 209,259.42/x
  3. Step 3: Cross multiply
    381,338.58x = 526,245.78 × 209,259.42
  4. Step 4: Simplify right side
    381,338.58x = 110,121,886,700.25
  5. Step 5: Solve for x
    x = 110,121,886,700.25/381,338.58
  6. Step 6: Final answer
    x = 288,777.20

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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.