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Finding the Fourth Proportional to 367,096.78, 506,563.77 and 205,929.46

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Solution

The fourth proportional to 367,096.78, 506,563.77 and 205,929.46 is: 284,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,096.78 : 506,563.77 = 205,929.46 : x
  2. Step 2: Convert to fraction form
    367,096.78/506,563.77 = 205,929.46/x
  3. Step 3: Cross multiply
    367,096.78x = 506,563.77 × 205,929.46
  4. Step 4: Simplify right side
    367,096.78x = 104,316,403,611.66
  5. Step 5: Solve for x
    x = 104,316,403,611.66/367,096.78
  6. Step 6: Final answer
    x = 284,165.95

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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.