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Finding the Fourth Proportional to 381,387.42, 526,317.75 and 211,624.38

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Solution

The fourth proportional to 381,387.42, 526,317.75 and 211,624.38 is: 292,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,387.42 : 526,317.75 = 211,624.38 : x
  2. Step 2: Convert to fraction form
    381,387.42/526,317.75 = 211,624.38/x
  3. Step 3: Cross multiply
    381,387.42x = 526,317.75 × 211,624.38
  4. Step 4: Simplify right side
    381,387.42x = 111,381,667,526.75
  5. Step 5: Solve for x
    x = 111,381,667,526.75/381,387.42
  6. Step 6: Final answer
    x = 292,043.37

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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.