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Finding the Fourth Proportional to 231,822.40, 347,733.60 and 231,822.40

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Solution

The fourth proportional to 231,822.40, 347,733.60 and 231,822.40 is: 347,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,822.40 : 347,733.60 = 231,822.40 : x
  2. Step 2: Convert to fraction form
    231,822.40/347,733.60 = 231,822.40/x
  3. Step 3: Cross multiply
    231,822.40x = 347,733.60 × 231,822.40
  4. Step 4: Simplify right side
    231,822.40x = 80,612,437,712.64
  5. Step 5: Solve for x
    x = 80,612,437,712.64/231,822.40
  6. Step 6: Final answer
    x = 347,733.60

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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.