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Finding the Fourth Proportional to 297,910.16, 411,015.96 and 168,838.50

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Solution

The fourth proportional to 297,910.16, 411,015.96 and 168,838.50 is: 232,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,910.16 : 411,015.96 = 168,838.50 : x
  2. Step 2: Convert to fraction form
    297,910.16/411,015.96 = 168,838.50/x
  3. Step 3: Cross multiply
    297,910.16x = 411,015.96 × 168,838.50
  4. Step 4: Simplify right side
    297,910.16x = 69,395,319,703.77
  5. Step 5: Solve for x
    x = 69,395,319,703.77/297,910.16
  6. Step 6: Final answer
    x = 232,940.43

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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.