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Finding the Fourth Proportional to 297,710.23, 410,844.78 and 161,746.87

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Solution

The fourth proportional to 297,710.23, 410,844.78 and 161,746.87 is: 223,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,710.23 : 410,844.78 = 161,746.87 : x
  2. Step 2: Convert to fraction form
    297,710.23/410,844.78 = 161,746.87/x
  3. Step 3: Cross multiply
    297,710.23x = 410,844.78 × 161,746.87
  4. Step 4: Simplify right side
    297,710.23x = 66,452,857,220.84
  5. Step 5: Solve for x
    x = 66,452,857,220.84/297,710.23
  6. Step 6: Final answer
    x = 223,213.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.