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Finding the Fourth Proportional to 231,563.15, 347,296.12 and 65,312.27

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Solution

The fourth proportional to 231,563.15, 347,296.12 and 65,312.27 is: 97,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,563.15 : 347,296.12 = 65,312.27 : x
  2. Step 2: Convert to fraction form
    231,563.15/347,296.12 = 65,312.27/x
  3. Step 3: Cross multiply
    231,563.15x = 347,296.12 × 65,312.27
  4. Step 4: Simplify right side
    231,563.15x = 22,682,696,059.63
  5. Step 5: Solve for x
    x = 22,682,696,059.63/231,563.15
  6. Step 6: Final answer
    x = 97,954.69

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1.5x scale

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.