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Finding the Fourth Proportional to 311,646.51, 467,100.59 and 143,024.73

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Solution

The fourth proportional to 311,646.51, 467,100.59 and 143,024.73 is: 214,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,646.51 : 467,100.59 = 143,024.73 : x
  2. Step 2: Convert to fraction form
    311,646.51/467,100.59 = 143,024.73/x
  3. Step 3: Cross multiply
    311,646.51x = 467,100.59 × 143,024.73
  4. Step 4: Simplify right side
    311,646.51x = 66,806,935,052.47
  5. Step 5: Solve for x
    x = 66,806,935,052.47/311,646.51
  6. Step 6: Final answer
    x = 214,367.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.