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Finding the Fourth Proportional to 297,685, 410,803.56 and 161,717.74

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Solution

The fourth proportional to 297,685, 410,803.56 and 161,717.74 is: 223,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,685 : 410,803.56 = 161,717.74 : x
  2. Step 2: Convert to fraction form
    297,685/410,803.56 = 161,717.74/x
  3. Step 3: Cross multiply
    297,685x = 410,803.56 × 161,717.74
  4. Step 4: Simplify right side
    297,685x = 66,434,223,307.15
  5. Step 5: Solve for x
    x = 66,434,223,307.15/297,685
  6. Step 6: Final answer
    x = 223,169.54

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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.