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Finding the Fourth Proportional to 297,802.55, 410,971.52 and 161,839.19

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Solution

The fourth proportional to 297,802.55, 410,971.52 and 161,839.19 is: 223,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,802.55 : 410,971.52 = 161,839.19 : x
  2. Step 2: Convert to fraction form
    297,802.55/410,971.52 = 161,839.19/x
  3. Step 3: Cross multiply
    297,802.55x = 410,971.52 × 161,839.19
  4. Step 4: Simplify right side
    297,802.55x = 66,511,295,045.82
  5. Step 5: Solve for x
    x = 66,511,295,045.82/297,802.55
  6. Step 6: Final answer
    x = 223,340.25

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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.