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Finding the Fourth Proportional to 465,523.80, 698,285.70 and 166,342.20

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Solution

The fourth proportional to 465,523.80, 698,285.70 and 166,342.20 is: 249,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,523.80 : 698,285.70 = 166,342.20 : x
  2. Step 2: Convert to fraction form
    465,523.80/698,285.70 = 166,342.20/x
  3. Step 3: Cross multiply
    465,523.80x = 698,285.70 × 166,342.20
  4. Step 4: Simplify right side
    465,523.80x = 116,154,379,566.54
  5. Step 5: Solve for x
    x = 116,154,379,566.54/465,523.80
  6. Step 6: Final answer
    x = 249,513.30

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