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Finding the Fourth Proportional to 564,938.69, 847,293.21 and 165,472.20

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Solution

The fourth proportional to 564,938.69, 847,293.21 and 165,472.20 is: 248,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,938.69 : 847,293.21 = 165,472.20 : x
  2. Step 2: Convert to fraction form
    564,938.69/847,293.21 = 165,472.20/x
  3. Step 3: Cross multiply
    564,938.69x = 847,293.21 × 165,472.20
  4. Step 4: Simplify right side
    564,938.69x = 140,203,471,503.76
  5. Step 5: Solve for x
    x = 140,203,471,503.76/564,938.69
  6. Step 6: Final answer
    x = 248,174.67

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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.