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Finding the Fourth Proportional to 946,815, 1,420,468.74 and 281,967

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Solution

The fourth proportional to 946,815, 1,420,468.74 and 281,967 is: 423,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,815 : 1,420,468.74 = 281,967 : x
  2. Step 2: Convert to fraction form
    946,815/1,420,468.74 = 281,967/x
  3. Step 3: Cross multiply
    946,815x = 1,420,468.74 × 281,967
  4. Step 4: Simplify right side
    946,815x = 400,525,309,211.58
  5. Step 5: Solve for x
    x = 400,525,309,211.58/946,815
  6. Step 6: Final answer
    x = 423,023.83

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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.