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Finding the Fourth Proportional to 465,415.30, 698,122.95 and 166,233.70

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Solution

The fourth proportional to 465,415.30, 698,122.95 and 166,233.70 is: 249,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,415.30 : 698,122.95 = 166,233.70 : x
  2. Step 2: Convert to fraction form
    465,415.30/698,122.95 = 166,233.70/x
  3. Step 3: Cross multiply
    465,415.30x = 698,122.95 × 166,233.70
  4. Step 4: Simplify right side
    465,415.30x = 116,051,561,033.42
  5. Step 5: Solve for x
    x = 116,051,561,033.42/465,415.30
  6. Step 6: Final answer
    x = 249,350.55

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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.