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Finding the Fourth Proportional to 375,363.84, 517,988.16 and 205,599.36

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Solution

The fourth proportional to 375,363.84, 517,988.16 and 205,599.36 is: 283,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,363.84 : 517,988.16 = 205,599.36 : x
  2. Step 2: Convert to fraction form
    375,363.84/517,988.16 = 205,599.36/x
  3. Step 3: Cross multiply
    375,363.84x = 517,988.16 × 205,599.36
  4. Step 4: Simplify right side
    375,363.84x = 106,498,034,183.58
  5. Step 5: Solve for x
    x = 106,498,034,183.58/375,363.84
  6. Step 6: Final answer
    x = 283,719.48

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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.