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Finding the Fourth Proportional to 297,283.41, 410,134.32 and 169,890.66

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Solution

The fourth proportional to 297,283.41, 410,134.32 and 169,890.66 is: 234,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,283.41 : 410,134.32 = 169,890.66 : x
  2. Step 2: Convert to fraction form
    297,283.41/410,134.32 = 169,890.66/x
  3. Step 3: Cross multiply
    297,283.41x = 410,134.32 × 169,890.66
  4. Step 4: Simplify right side
    297,283.41x = 69,677,990,313.45
  5. Step 5: Solve for x
    x = 69,677,990,313.45/297,283.41
  6. Step 6: Final answer
    x = 234,382.37

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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.