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Finding the Fourth Proportional to 465,576.45, 698,200.65 and 166,066.80

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Solution

The fourth proportional to 465,576.45, 698,200.65 and 166,066.80 is: 249,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,576.45 : 698,200.65 = 166,066.80 : x
  2. Step 2: Convert to fraction form
    465,576.45/698,200.65 = 166,066.80/x
  3. Step 3: Cross multiply
    465,576.45x = 698,200.65 × 166,066.80
  4. Step 4: Simplify right side
    465,576.45x = 115,947,947,703.42
  5. Step 5: Solve for x
    x = 115,947,947,703.42/465,576.45
  6. Step 6: Final answer
    x = 249,041.69

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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.