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Finding the Fourth Proportional to 231,314.40, 346,971.60 and 231,314.40

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Solution

The fourth proportional to 231,314.40, 346,971.60 and 231,314.40 is: 346,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,314.40 : 346,971.60 = 231,314.40 : x
  2. Step 2: Convert to fraction form
    231,314.40/346,971.60 = 231,314.40/x
  3. Step 3: Cross multiply
    231,314.40x = 346,971.60 × 231,314.40
  4. Step 4: Simplify right side
    231,314.40x = 80,259,527,471.04
  5. Step 5: Solve for x
    x = 80,259,527,471.04/231,314.40
  6. Step 6: Final answer
    x = 346,971.60

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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.