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Finding the Fourth Proportional to 483,656.40, 724,378.19 and 231,114.42

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Solution

The fourth proportional to 483,656.40, 724,378.19 and 231,114.42 is: 346,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,656.40 : 724,378.19 = 231,114.42 : x
  2. Step 2: Convert to fraction form
    483,656.40/724,378.19 = 231,114.42/x
  3. Step 3: Cross multiply
    483,656.40x = 724,378.19 × 231,114.42
  4. Step 4: Simplify right side
    483,656.40x = 167,414,244,086.93
  5. Step 5: Solve for x
    x = 167,414,244,086.93/483,656.40
  6. Step 6: Final answer
    x = 346,142.93

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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.