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Finding the Fourth Proportional to 381,280.38, 526,230 and 211,569.18

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Solution

The fourth proportional to 381,280.38, 526,230 and 211,569.18 is: 292,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,280.38 : 526,230 = 211,569.18 : x
  2. Step 2: Convert to fraction form
    381,280.38/526,230 = 211,569.18/x
  3. Step 3: Cross multiply
    381,280.38x = 526,230 × 211,569.18
  4. Step 4: Simplify right side
    381,280.38x = 111,334,049,591.40
  5. Step 5: Solve for x
    x = 111,334,049,591.40/381,280.38
  6. Step 6: Final answer
    x = 292,000.47

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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.