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Finding the Fourth Proportional to 564,940.69, 847,296.21 and 165,474.20

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Solution

The fourth proportional to 564,940.69, 847,296.21 and 165,474.20 is: 248,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,940.69 : 847,296.21 = 165,474.20 : x
  2. Step 2: Convert to fraction form
    564,940.69/847,296.21 = 165,474.20/x
  3. Step 3: Cross multiply
    564,940.69x = 847,296.21 × 165,474.20
  4. Step 4: Simplify right side
    564,940.69x = 140,205,662,512.78
  5. Step 5: Solve for x
    x = 140,205,662,512.78/564,940.69
  6. Step 6: Final answer
    x = 248,177.67

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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.