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Finding the Fourth Proportional to 348,785, 523,182.42 and 99,467

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Solution

The fourth proportional to 348,785, 523,182.42 and 99,467 is: 149,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,785 : 523,182.42 = 99,467 : x
  2. Step 2: Convert to fraction form
    348,785/523,182.42 = 99,467/x
  3. Step 3: Cross multiply
    348,785x = 523,182.42 × 99,467
  4. Step 4: Simplify right side
    348,785x = 52,039,385,770.14
  5. Step 5: Solve for x
    x = 52,039,385,770.14/348,785
  6. Step 6: Final answer
    x = 149,201.90

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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.