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Finding the Fourth Proportional to 347,182, 479,088.48 and 194,193.64

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Solution

The fourth proportional to 347,182, 479,088.48 and 194,193.64 is: 267,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,182 : 479,088.48 = 194,193.64 : x
  2. Step 2: Convert to fraction form
    347,182/479,088.48 = 194,193.64/x
  3. Step 3: Cross multiply
    347,182x = 479,088.48 × 194,193.64
  4. Step 4: Simplify right side
    347,182x = 93,035,935,813.27
  5. Step 5: Solve for x
    x = 93,035,935,813.27/347,182
  6. Step 6: Final answer
    x = 267,974.54

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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.