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Finding the Fourth Proportional to 375,761.38, 518,539.98 and 214,613.10

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Solution

The fourth proportional to 375,761.38, 518,539.98 and 214,613.10 is: 296,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,761.38 : 518,539.98 = 214,613.10 : x
  2. Step 2: Convert to fraction form
    375,761.38/518,539.98 = 214,613.10/x
  3. Step 3: Cross multiply
    375,761.38x = 518,539.98 × 214,613.10
  4. Step 4: Simplify right side
    375,761.38x = 111,285,472,581.74
  5. Step 5: Solve for x
    x = 111,285,472,581.74/375,761.38
  6. Step 6: Final answer
    x = 296,159.95

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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.