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Finding the Fourth Proportional to 322,823.16, 445,311.54 and 193,726.98

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Solution

The fourth proportional to 322,823.16, 445,311.54 and 193,726.98 is: 267,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,823.16 : 445,311.54 = 193,726.98 : x
  2. Step 2: Convert to fraction form
    322,823.16/445,311.54 = 193,726.98/x
  3. Step 3: Cross multiply
    322,823.16x = 445,311.54 × 193,726.98
  4. Step 4: Simplify right side
    322,823.16x = 86,268,859,803.35
  5. Step 5: Solve for x
    x = 86,268,859,803.35/322,823.16
  6. Step 6: Final answer
    x = 267,232.56

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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.