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Finding the Fourth Proportional to 297,208.41, 410,050.65 and 168,134.41

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Solution

The fourth proportional to 297,208.41, 410,050.65 and 168,134.41 is: 231,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,208.41 : 410,050.65 = 168,134.41 : x
  2. Step 2: Convert to fraction form
    297,208.41/410,050.65 = 168,134.41/x
  3. Step 3: Cross multiply
    297,208.41x = 410,050.65 × 168,134.41
  4. Step 4: Simplify right side
    297,208.41x = 68,943,624,107.87
  5. Step 5: Solve for x
    x = 68,943,624,107.87/297,208.41
  6. Step 6: Final answer
    x = 231,970.64

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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.