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Finding the Fourth Proportional to 297,212.27, 410,152.86 and 169,890.60

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Solution

The fourth proportional to 297,212.27, 410,152.86 and 169,890.60 is: 234,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,212.27 : 410,152.86 = 169,890.60 : x
  2. Step 2: Convert to fraction form
    297,212.27/410,152.86 = 169,890.60/x
  3. Step 3: Cross multiply
    297,212.27x = 410,152.86 × 169,890.60
  4. Step 4: Simplify right side
    297,212.27x = 69,681,115,477.12
  5. Step 5: Solve for x
    x = 69,681,115,477.12/297,212.27
  6. Step 6: Final answer
    x = 234,448.99

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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.