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Finding the Fourth Proportional to 347,040.67, 478,913.43 and 194,079.10

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Solution

The fourth proportional to 347,040.67, 478,913.43 and 194,079.10 is: 267,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,040.67 : 478,913.43 = 194,079.10 : x
  2. Step 2: Convert to fraction form
    347,040.67/478,913.43 = 194,079.10/x
  3. Step 3: Cross multiply
    347,040.67x = 478,913.43 × 194,079.10
  4. Step 4: Simplify right side
    347,040.67x = 92,947,087,472.31
  5. Step 5: Solve for x
    x = 92,947,087,472.31/347,040.67
  6. Step 6: Final answer
    x = 267,827.65

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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.