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Finding the Fourth Proportional to 297,309.96, 410,187.24 and 169,894.80

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Solution

The fourth proportional to 297,309.96, 410,187.24 and 169,894.80 is: 234,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,309.96 : 410,187.24 = 169,894.80 : x
  2. Step 2: Convert to fraction form
    297,309.96/410,187.24 = 169,894.80/x
  3. Step 3: Cross multiply
    297,309.96x = 410,187.24 × 169,894.80
  4. Step 4: Simplify right side
    297,309.96x = 69,688,679,102.35
  5. Step 5: Solve for x
    x = 69,688,679,102.35/297,309.96
  6. Step 6: Final answer
    x = 234,397.39

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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.