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Finding the Fourth Proportional to 297,825.66, 410,997.44 and 170,501.25

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Solution

The fourth proportional to 297,825.66, 410,997.44 and 170,501.25 is: 235,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,825.66 : 410,997.44 = 170,501.25 : x
  2. Step 2: Convert to fraction form
    297,825.66/410,997.44 = 170,501.25/x
  3. Step 3: Cross multiply
    297,825.66x = 410,997.44 × 170,501.25
  4. Step 4: Simplify right side
    297,825.66x = 70,075,579,234.29
  5. Step 5: Solve for x
    x = 70,075,579,234.29/297,825.66
  6. Step 6: Final answer
    x = 235,290.60

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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.