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Finding the Fourth Proportional to 465,815.90, 698,871.48 and 166,289.85

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Solution

The fourth proportional to 465,815.90, 698,871.48 and 166,289.85 is: 249,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,815.90 : 698,871.48 = 166,289.85 : x
  2. Step 2: Convert to fraction form
    465,815.90/698,871.48 = 166,289.85/x
  3. Step 3: Cross multiply
    465,815.90x = 698,871.48 × 166,289.85
  4. Step 4: Simplify right side
    465,815.90x = 116,215,229,252.67
  5. Step 5: Solve for x
    x = 116,215,229,252.67/465,815.90
  6. Step 6: Final answer
    x = 249,487.47

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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.