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Finding the Fourth Proportional to 297,764.34, 410,933.16 and 170,437.20

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Solution

The fourth proportional to 297,764.34, 410,933.16 and 170,437.20 is: 235,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,764.34 : 410,933.16 = 170,437.20 : x
  2. Step 2: Convert to fraction form
    297,764.34/410,933.16 = 170,437.20/x
  3. Step 3: Cross multiply
    297,764.34x = 410,933.16 × 170,437.20
  4. Step 4: Simplify right side
    297,764.34x = 70,038,297,177.55
  5. Step 5: Solve for x
    x = 70,038,297,177.55/297,764.34
  6. Step 6: Final answer
    x = 235,213.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.