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Finding the Fourth Proportional to 412,031.80, 617,928.66 and 187,267

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Solution

The fourth proportional to 412,031.80, 617,928.66 and 187,267 is: 280,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,031.80 : 617,928.66 = 187,267 : x
  2. Step 2: Convert to fraction form
    412,031.80/617,928.66 = 187,267/x
  3. Step 3: Cross multiply
    412,031.80x = 617,928.66 × 187,267
  4. Step 4: Simplify right side
    412,031.80x = 115,717,646,372.22
  5. Step 5: Solve for x
    x = 115,717,646,372.22/412,031.80
  6. Step 6: Final answer
    x = 280,846.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.