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Finding the Fourth Proportional to 381,193.38, 526,109.85 and 211,482.18

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Solution

The fourth proportional to 381,193.38, 526,109.85 and 211,482.18 is: 291,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,193.38 : 526,109.85 = 211,482.18 : x
  2. Step 2: Convert to fraction form
    381,193.38/526,109.85 = 211,482.18/x
  3. Step 3: Cross multiply
    381,193.38x = 526,109.85 × 211,482.18
  4. Step 4: Simplify right side
    381,193.38x = 111,262,857,997.47
  5. Step 5: Solve for x
    x = 111,262,857,997.47/381,193.38
  6. Step 6: Final answer
    x = 291,880.35

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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.