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Finding the Fourth Proportional to 313,211.62, 432,233.16 and 169,971.58

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Solution

The fourth proportional to 313,211.62, 432,233.16 and 169,971.58 is: 234,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,211.62 : 432,233.16 = 169,971.58 : x
  2. Step 2: Convert to fraction form
    313,211.62/432,233.16 = 169,971.58/x
  3. Step 3: Cross multiply
    313,211.62x = 432,233.16 × 169,971.58
  4. Step 4: Simplify right side
    313,211.62x = 73,467,353,133.59
  5. Step 5: Solve for x
    x = 73,467,353,133.59/313,211.62
  6. Step 6: Final answer
    x = 234,561.39

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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.