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Finding the Fourth Proportional to 297,689.12, 410,355.84 and 182,755.52

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Solution

The fourth proportional to 297,689.12, 410,355.84 and 182,755.52 is: 251,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,689.12 : 410,355.84 = 182,755.52 : x
  2. Step 2: Convert to fraction form
    297,689.12/410,355.84 = 182,755.52/x
  3. Step 3: Cross multiply
    297,689.12x = 410,355.84 × 182,755.52
  4. Step 4: Simplify right side
    297,689.12x = 74,994,794,924.24
  5. Step 5: Solve for x
    x = 74,994,794,924.24/297,689.12
  6. Step 6: Final answer
    x = 251,923.20

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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.