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Finding the Fourth Proportional to 329,561.46, 494,298.45 and 92,923.20

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Solution

The fourth proportional to 329,561.46, 494,298.45 and 92,923.20 is: 139,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,561.46 : 494,298.45 = 92,923.20 : x
  2. Step 2: Convert to fraction form
    329,561.46/494,298.45 = 92,923.20/x
  3. Step 3: Cross multiply
    329,561.46x = 494,298.45 × 92,923.20
  4. Step 4: Simplify right side
    329,561.46x = 45,931,793,729.04
  5. Step 5: Solve for x
    x = 45,931,793,729.04/329,561.46
  6. Step 6: Final answer
    x = 139,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.