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Finding the Fourth Proportional to 297,032.90, 409,900.37 and 167,969.32

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Solution

The fourth proportional to 297,032.90, 409,900.37 and 167,969.32 is: 231,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,032.90 : 409,900.37 = 167,969.32 : x
  2. Step 2: Convert to fraction form
    297,032.90/409,900.37 = 167,969.32/x
  3. Step 3: Cross multiply
    297,032.90x = 409,900.37 × 167,969.32
  4. Step 4: Simplify right side
    297,032.90x = 68,850,684,552.05
  5. Step 5: Solve for x
    x = 68,850,684,552.05/297,032.90
  6. Step 6: Final answer
    x = 231,794.81

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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.