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Finding the Fourth Proportional to 381,714.92, 526,782.66 and 211,964.84

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Solution

The fourth proportional to 381,714.92, 526,782.66 and 211,964.84 is: 292,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,714.92 : 526,782.66 = 211,964.84 : x
  2. Step 2: Convert to fraction form
    381,714.92/526,782.66 = 211,964.84/x
  3. Step 3: Cross multiply
    381,714.92x = 526,782.66 × 211,964.84
  4. Step 4: Simplify right side
    381,714.92x = 111,659,402,241.67
  5. Step 5: Solve for x
    x = 111,659,402,241.67/381,714.92
  6. Step 6: Final answer
    x = 292,520.40

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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.