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Finding the Fourth Proportional to 375,922.50, 518,773.05 and 206,156.63

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Solution

The fourth proportional to 375,922.50, 518,773.05 and 206,156.63 is: 284,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,922.50 : 518,773.05 = 206,156.63 : x
  2. Step 2: Convert to fraction form
    375,922.50/518,773.05 = 206,156.63/x
  3. Step 3: Cross multiply
    375,922.50x = 518,773.05 × 206,156.63
  4. Step 4: Simplify right side
    375,922.50x = 106,948,501,128.96
  5. Step 5: Solve for x
    x = 106,948,501,128.96/375,922.50
  6. Step 6: Final answer
    x = 284,496.14

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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.