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Finding the Fourth Proportional to 297,340.23, 410,329.80 and 161,374.28

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Solution

The fourth proportional to 297,340.23, 410,329.80 and 161,374.28 is: 222,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,340.23 : 410,329.80 = 161,374.28 : x
  2. Step 2: Convert to fraction form
    297,340.23/410,329.80 = 161,374.28/x
  3. Step 3: Cross multiply
    297,340.23x = 410,329.80 × 161,374.28
  4. Step 4: Simplify right side
    297,340.23x = 66,216,673,985.90
  5. Step 5: Solve for x
    x = 66,216,673,985.90/297,340.23
  6. Step 6: Final answer
    x = 222,696.65

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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.