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Finding the Fourth Proportional to 299,440.03, 413,221.82 and 170,375.70

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Solution

The fourth proportional to 299,440.03, 413,221.82 and 170,375.70 is: 235,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,440.03 : 413,221.82 = 170,375.70 : x
  2. Step 2: Convert to fraction form
    299,440.03/413,221.82 = 170,375.70/x
  3. Step 3: Cross multiply
    299,440.03x = 413,221.82 × 170,375.70
  4. Step 4: Simplify right side
    299,440.03x = 70,402,956,837.77
  5. Step 5: Solve for x
    x = 70,402,956,837.77/299,440.03
  6. Step 6: Final answer
    x = 235,115.38

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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.