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Finding the Fourth Proportional to 299,053.32, 412,694.28 and 169,992.66

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Solution

The fourth proportional to 299,053.32, 412,694.28 and 169,992.66 is: 234,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,053.32 : 412,694.28 = 169,992.66 : x
  2. Step 2: Convert to fraction form
    299,053.32/412,694.28 = 169,992.66/x
  3. Step 3: Cross multiply
    299,053.32x = 412,694.28 × 169,992.66
  4. Step 4: Simplify right side
    299,053.32x = 70,154,998,423.98
  5. Step 5: Solve for x
    x = 70,154,998,423.98/299,053.32
  6. Step 6: Final answer
    x = 234,590.27

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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.