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Finding the Fourth Proportional to 375,788.76, 518,587.68 and 206,022.88

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Solution

The fourth proportional to 375,788.76, 518,587.68 and 206,022.88 is: 284,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,788.76 : 518,587.68 = 206,022.88 : x
  2. Step 2: Convert to fraction form
    375,788.76/518,587.68 = 206,022.88/x
  3. Step 3: Cross multiply
    375,788.76x = 518,587.68 × 206,022.88
  4. Step 4: Simplify right side
    375,788.76x = 106,840,927,366.12
  5. Step 5: Solve for x
    x = 106,840,927,366.12/375,788.76
  6. Step 6: Final answer
    x = 284,311.13

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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.