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Finding the Fourth Proportional to 381,196.08, 526,113.56 and 211,484.88

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Solution

The fourth proportional to 381,196.08, 526,113.56 and 211,484.88 is: 291,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196.08 : 526,113.56 = 211,484.88 : x
  2. Step 2: Convert to fraction form
    381,196.08/526,113.56 = 211,484.88/x
  3. Step 3: Cross multiply
    381,196.08x = 526,113.56 × 211,484.88
  4. Step 4: Simplify right side
    381,196.08x = 111,265,063,102.97
  5. Step 5: Solve for x
    x = 111,265,063,102.97/381,196.08
  6. Step 6: Final answer
    x = 291,884.07

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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.