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Finding the Fourth Proportional to 375,712.22, 518,496.15 and 205,946.30

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Solution

The fourth proportional to 375,712.22, 518,496.15 and 205,946.30 is: 284,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,712.22 : 518,496.15 = 205,946.30 : x
  2. Step 2: Convert to fraction form
    375,712.22/518,496.15 = 205,946.30/x
  3. Step 3: Cross multiply
    375,712.22x = 518,496.15 × 205,946.30
  4. Step 4: Simplify right side
    375,712.22x = 106,782,363,656.75
  5. Step 5: Solve for x
    x = 106,782,363,656.75/375,712.22
  6. Step 6: Final answer
    x = 284,213.18

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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.