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Finding the Fourth Proportional to 375,766.38, 518,546.88 and 214,618.11

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Solution

The fourth proportional to 375,766.38, 518,546.88 and 214,618.11 is: 296,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,766.38 : 518,546.88 = 214,618.11 : x
  2. Step 2: Convert to fraction form
    375,766.38/518,546.88 = 214,618.11/x
  3. Step 3: Cross multiply
    375,766.38x = 518,546.88 × 214,618.11
  4. Step 4: Simplify right side
    375,766.38x = 111,289,551,332.00
  5. Step 5: Solve for x
    x = 111,289,551,332.00/375,766.38
  6. Step 6: Final answer
    x = 296,166.87

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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.