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Finding the Fourth Proportional to 297,142.26, 410,057.55 and 169,822.14

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Solution

The fourth proportional to 297,142.26, 410,057.55 and 169,822.14 is: 234,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,142.26 : 410,057.55 = 169,822.14 : x
  2. Step 2: Convert to fraction form
    297,142.26/410,057.55 = 169,822.14/x
  3. Step 3: Cross multiply
    297,142.26x = 410,057.55 × 169,822.14
  4. Step 4: Simplify right side
    297,142.26x = 69,636,850,664.16
  5. Step 5: Solve for x
    x = 69,636,850,664.16/297,142.26
  6. Step 6: Final answer
    x = 234,355.26

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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.