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Finding the Fourth Proportional to 367,076.06, 506,568.48 and 205,934.60

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Solution

The fourth proportional to 367,076.06, 506,568.48 and 205,934.60 is: 284,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,076.06 : 506,568.48 = 205,934.60 : x
  2. Step 2: Convert to fraction form
    367,076.06/506,568.48 = 205,934.60/x
  3. Step 3: Cross multiply
    367,076.06x = 506,568.48 × 205,934.60
  4. Step 4: Simplify right side
    367,076.06x = 104,319,977,301.41
  5. Step 5: Solve for x
    x = 104,319,977,301.41/367,076.06
  6. Step 6: Final answer
    x = 284,191.72

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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.