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Finding the Fourth Proportional to 381,609.66, 526,594.95 and 211,830.42

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Solution

The fourth proportional to 381,609.66, 526,594.95 and 211,830.42 is: 292,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,609.66 : 526,594.95 = 211,830.42 : x
  2. Step 2: Convert to fraction form
    381,609.66/526,594.95 = 211,830.42/x
  3. Step 3: Cross multiply
    381,609.66x = 526,594.95 × 211,830.42
  4. Step 4: Simplify right side
    381,609.66x = 111,548,829,428.38
  5. Step 5: Solve for x
    x = 111,548,829,428.38/381,609.66
  6. Step 6: Final answer
    x = 292,311.34

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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.