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Finding the Fourth Proportional to 375,328.62, 517,934.25 and 205,559.10

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Solution

The fourth proportional to 375,328.62, 517,934.25 and 205,559.10 is: 283,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,328.62 : 517,934.25 = 205,559.10 : x
  2. Step 2: Convert to fraction form
    375,328.62/517,934.25 = 205,559.10/x
  3. Step 3: Cross multiply
    375,328.62x = 517,934.25 × 205,559.10
  4. Step 4: Simplify right side
    375,328.62x = 106,466,098,289.18
  5. Step 5: Solve for x
    x = 106,466,098,289.18/375,328.62
  6. Step 6: Final answer
    x = 283,661.02

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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.