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Finding the Fourth Proportional to 844,930, 1,267,395 and 283,964.50

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Solution

The fourth proportional to 844,930, 1,267,395 and 283,964.50 is: 425,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,930 : 1,267,395 = 283,964.50 : x
  2. Step 2: Convert to fraction form
    844,930/1,267,395 = 283,964.50/x
  3. Step 3: Cross multiply
    844,930x = 1,267,395 × 283,964.50
  4. Step 4: Simplify right side
    844,930x = 359,895,187,477.50
  5. Step 5: Solve for x
    x = 359,895,187,477.50/844,930
  6. Step 6: Final answer
    x = 425,946.75

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Similar ratio
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1.5x scale

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.