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Finding the Fourth Proportional to 296,892.52, 409,766.50 and 169,568.08

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Solution

The fourth proportional to 296,892.52, 409,766.50 and 169,568.08 is: 234,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,892.52 : 409,766.50 = 169,568.08 : x
  2. Step 2: Convert to fraction form
    296,892.52/409,766.50 = 169,568.08/x
  3. Step 3: Cross multiply
    296,892.52x = 409,766.50 × 169,568.08
  4. Step 4: Simplify right side
    296,892.52x = 69,483,318,653.32
  5. Step 5: Solve for x
    x = 69,483,318,653.32/296,892.52
  6. Step 6: Final answer
    x = 234,035.26

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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.