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Finding the Fourth Proportional to 367,074.06, 506,565.72 and 205,932.60

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Solution

The fourth proportional to 367,074.06, 506,565.72 and 205,932.60 is: 284,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,074.06 : 506,565.72 = 205,932.60 : x
  2. Step 2: Convert to fraction form
    367,074.06/506,565.72 = 205,932.60/x
  3. Step 3: Cross multiply
    367,074.06x = 506,565.72 × 205,932.60
  4. Step 4: Simplify right side
    367,074.06x = 104,318,395,790.47
  5. Step 5: Solve for x
    x = 104,318,395,790.47/367,074.06
  6. Step 6: Final answer
    x = 284,188.96

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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.