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Finding the Fourth Proportional to 306,206.24, 422,599.56 and 170,253.68

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Solution

The fourth proportional to 306,206.24, 422,599.56 and 170,253.68 is: 234,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,206.24 : 422,599.56 = 170,253.68 : x
  2. Step 2: Convert to fraction form
    306,206.24/422,599.56 = 170,253.68/x
  3. Step 3: Cross multiply
    306,206.24x = 422,599.56 × 170,253.68
  4. Step 4: Simplify right side
    306,206.24x = 71,949,130,256.38
  5. Step 5: Solve for x
    x = 71,949,130,256.38/306,206.24
  6. Step 6: Final answer
    x = 234,969.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.