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Finding the Fourth Proportional to 297,621.93, 410,713.90 and 161,657.66

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Solution

The fourth proportional to 297,621.93, 410,713.90 and 161,657.66 is: 223,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,621.93 : 410,713.90 = 161,657.66 : x
  2. Step 2: Convert to fraction form
    297,621.93/410,713.90 = 161,657.66/x
  3. Step 3: Cross multiply
    297,621.93x = 410,713.90 × 161,657.66
  4. Step 4: Simplify right side
    297,621.93x = 66,395,048,003.47
  5. Step 5: Solve for x
    x = 66,395,048,003.47/297,621.93
  6. Step 6: Final answer
    x = 223,085.20

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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.