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Finding the Fourth Proportional to 381,796.38, 526,864.56 and 212,041.44

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Solution

The fourth proportional to 381,796.38, 526,864.56 and 212,041.44 is: 292,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,796.38 : 526,864.56 = 212,041.44 : x
  2. Step 2: Convert to fraction form
    381,796.38/526,864.56 = 212,041.44/x
  3. Step 3: Cross multiply
    381,796.38x = 526,864.56 × 212,041.44
  4. Step 4: Simplify right side
    381,796.38x = 111,717,119,987.37
  5. Step 5: Solve for x
    x = 111,717,119,987.37/381,796.38
  6. Step 6: Final answer
    x = 292,609.17

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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.