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Finding the Fourth Proportional to 297,501.80, 410,559.62 and 161,541.48

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Solution

The fourth proportional to 297,501.80, 410,559.62 and 161,541.48 is: 222,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,501.80 : 410,559.62 = 161,541.48 : x
  2. Step 2: Convert to fraction form
    297,501.80/410,559.62 = 161,541.48/x
  3. Step 3: Cross multiply
    297,501.80x = 410,559.62 × 161,541.48
  4. Step 4: Simplify right side
    297,501.80x = 66,322,405,782.53
  5. Step 5: Solve for x
    x = 66,322,405,782.53/297,501.80
  6. Step 6: Final answer
    x = 222,931.11

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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.