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Finding the Fourth Proportional to 297,744.18, 410,905.35 and 170,416.86

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Solution

The fourth proportional to 297,744.18, 410,905.35 and 170,416.86 is: 235,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,744.18 : 410,905.35 = 170,416.86 : x
  2. Step 2: Convert to fraction form
    297,744.18/410,905.35 = 170,416.86/x
  3. Step 3: Cross multiply
    297,744.18x = 410,905.35 × 170,416.86
  4. Step 4: Simplify right side
    297,744.18x = 70,025,199,504.20
  5. Step 5: Solve for x
    x = 70,025,199,504.20/297,744.18
  6. Step 6: Final answer
    x = 235,185.79

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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.