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Finding the Fourth Proportional to 306,210.87, 422,581.82 and 170,283.38

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Solution

The fourth proportional to 306,210.87, 422,581.82 and 170,283.38 is: 234,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,210.87 : 422,581.82 = 170,283.38 : x
  2. Step 2: Convert to fraction form
    306,210.87/422,581.82 = 170,283.38/x
  3. Step 3: Cross multiply
    306,210.87x = 422,581.82 × 170,283.38
  4. Step 4: Simplify right side
    306,210.87x = 71,958,657,671.83
  5. Step 5: Solve for x
    x = 71,958,657,671.83/306,210.87
  6. Step 6: Final answer
    x = 234,997.07

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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.