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Finding the Fourth Proportional to 347,322.94, 479,325.85 and 194,359.83

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Solution

The fourth proportional to 347,322.94, 479,325.85 and 194,359.83 is: 268,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,322.94 : 479,325.85 = 194,359.83 : x
  2. Step 2: Convert to fraction form
    347,322.94/479,325.85 = 194,359.83/x
  3. Step 3: Cross multiply
    347,322.94x = 479,325.85 × 194,359.83
  4. Step 4: Simplify right side
    347,322.94x = 93,161,690,878.61
  5. Step 5: Solve for x
    x = 93,161,690,878.61/347,322.94
  6. Step 6: Final answer
    x = 268,227.87

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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.