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Finding the Fourth Proportional to 412,794, 619,295.04 and 117,306

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Solution

The fourth proportional to 412,794, 619,295.04 and 117,306 is: 175,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,794 : 619,295.04 = 117,306 : x
  2. Step 2: Convert to fraction form
    412,794/619,295.04 = 117,306/x
  3. Step 3: Cross multiply
    412,794x = 619,295.04 × 117,306
  4. Step 4: Simplify right side
    412,794x = 72,647,023,962.24
  5. Step 5: Solve for x
    x = 72,647,023,962.24/412,794
  6. Step 6: Final answer
    x = 175,988.57

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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.