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Finding the Fourth Proportional to 347,045.85, 478,919.86 and 194,082.28

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Solution

The fourth proportional to 347,045.85, 478,919.86 and 194,082.28 is: 267,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,045.85 : 478,919.86 = 194,082.28 : x
  2. Step 2: Convert to fraction form
    347,045.85/478,919.86 = 194,082.28/x
  3. Step 3: Cross multiply
    347,045.85x = 478,919.86 × 194,082.28
  4. Step 4: Simplify right side
    347,045.85x = 92,949,856,683.58
  5. Step 5: Solve for x
    x = 92,949,856,683.58/347,045.85
  6. Step 6: Final answer
    x = 267,831.63

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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.