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Finding the Fourth Proportional to 817,298, 1,225,947 and 226,322

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Solution

The fourth proportional to 817,298, 1,225,947 and 226,322 is: 339,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,298 : 1,225,947 = 226,322 : x
  2. Step 2: Convert to fraction form
    817,298/1,225,947 = 226,322/x
  3. Step 3: Cross multiply
    817,298x = 1,225,947 × 226,322
  4. Step 4: Simplify right side
    817,298x = 277,458,776,934
  5. Step 5: Solve for x
    x = 277,458,776,934/817,298
  6. Step 6: Final answer
    x = 339,483

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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.