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Finding the Fourth Proportional to 297,627.57, 410,730.48 and 161,664.17

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Solution

The fourth proportional to 297,627.57, 410,730.48 and 161,664.17 is: 223,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,627.57 : 410,730.48 = 161,664.17 : x
  2. Step 2: Convert to fraction form
    297,627.57/410,730.48 = 161,664.17/x
  3. Step 3: Cross multiply
    297,627.57x = 410,730.48 × 161,664.17
  4. Step 4: Simplify right side
    297,627.57x = 66,400,400,089.25
  5. Step 5: Solve for x
    x = 66,400,400,089.25/297,627.57
  6. Step 6: Final answer
    x = 223,098.96

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1.5x scale

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.