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Finding the Fourth Proportional to 381,433.38, 526,402.73 and 211,667.50

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Solution

The fourth proportional to 381,433.38, 526,402.73 and 211,667.50 is: 292,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,433.38 : 526,402.73 = 211,667.50 : x
  2. Step 2: Convert to fraction form
    381,433.38/526,402.73 = 211,667.50/x
  3. Step 3: Cross multiply
    381,433.38x = 526,402.73 × 211,667.50
  4. Step 4: Simplify right side
    381,433.38x = 111,422,349,852.28
  5. Step 5: Solve for x
    x = 111,422,349,852.28/381,433.38
  6. Step 6: Final answer
    x = 292,114.84

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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.