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Finding the Fourth Proportional to 297,216.78, 410,159.16 and 169,895.14

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Solution

The fourth proportional to 297,216.78, 410,159.16 and 169,895.14 is: 234,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,216.78 : 410,159.16 = 169,895.14 : x
  2. Step 2: Convert to fraction form
    297,216.78/410,159.16 = 169,895.14/x
  3. Step 3: Cross multiply
    297,216.78x = 410,159.16 × 169,895.14
  4. Step 4: Simplify right side
    297,216.78x = 69,684,047,910.48
  5. Step 5: Solve for x
    x = 69,684,047,910.48/297,216.78
  6. Step 6: Final answer
    x = 234,455.30

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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.