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Finding the Fourth Proportional to 465,487.60, 698,231.40 and 276,530.80

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Solution

The fourth proportional to 465,487.60, 698,231.40 and 276,530.80 is: 414,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,487.60 : 698,231.40 = 276,530.80 : x
  2. Step 2: Convert to fraction form
    465,487.60/698,231.40 = 276,530.80/x
  3. Step 3: Cross multiply
    465,487.60x = 698,231.40 × 276,530.80
  4. Step 4: Simplify right side
    465,487.60x = 193,082,487,627.12
  5. Step 5: Solve for x
    x = 193,082,487,627.12/465,487.60
  6. Step 6: Final answer
    x = 414,796.20

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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.