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Finding the Fourth Proportional to 349,136, 523,734.37 and 96,416.82

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Solution

The fourth proportional to 349,136, 523,734.37 and 96,416.82 is: 144,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,136 : 523,734.37 = 96,416.82 : x
  2. Step 2: Convert to fraction form
    349,136/523,734.37 = 96,416.82/x
  3. Step 3: Cross multiply
    349,136x = 523,734.37 × 96,416.82
  4. Step 4: Simplify right side
    349,136x = 50,496,802,480.10
  5. Step 5: Solve for x
    x = 50,496,802,480.10/349,136
  6. Step 6: Final answer
    x = 144,633.62

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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.