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Finding the Fourth Proportional to 312,467.47, 431,205.45 and 169,227.67

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Solution

The fourth proportional to 312,467.47, 431,205.45 and 169,227.67 is: 233,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.47 : 431,205.45 = 169,227.67 : x
  2. Step 2: Convert to fraction form
    312,467.47/431,205.45 = 169,227.67/x
  3. Step 3: Cross multiply
    312,467.47x = 431,205.45 × 169,227.67
  4. Step 4: Simplify right side
    312,467.47x = 72,971,893,594.80
  5. Step 5: Solve for x
    x = 72,971,893,594.80/312,467.47
  6. Step 6: Final answer
    x = 233,534.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.