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Finding the Fourth Proportional to 349,136.50, 523,735.12 and 96,417.32

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Solution

The fourth proportional to 349,136.50, 523,735.12 and 96,417.32 is: 144,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,136.50 : 523,735.12 = 96,417.32 : x
  2. Step 2: Convert to fraction form
    349,136.50/523,735.12 = 96,417.32/x
  3. Step 3: Cross multiply
    349,136.50x = 523,735.12 × 96,417.32
  4. Step 4: Simplify right side
    349,136.50x = 50,497,136,660.28
  5. Step 5: Solve for x
    x = 50,497,136,660.28/349,136.50
  6. Step 6: Final answer
    x = 144,634.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.