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Finding the Fourth Proportional to 375,526.49, 518,226.87 and 205,760.61

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Solution

The fourth proportional to 375,526.49, 518,226.87 and 205,760.61 is: 283,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,526.49 : 518,226.87 = 205,760.61 : x
  2. Step 2: Convert to fraction form
    375,526.49/518,226.87 = 205,760.61/x
  3. Step 3: Cross multiply
    375,526.49x = 518,226.87 × 205,760.61
  4. Step 4: Simplify right side
    375,526.49x = 106,630,676,889.59
  5. Step 5: Solve for x
    x = 106,630,676,889.59/375,526.49
  6. Step 6: Final answer
    x = 283,949.82

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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.