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Finding the Fourth Proportional to 652,134.60, 978,201.90 and 231,355.80

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Solution

The fourth proportional to 652,134.60, 978,201.90 and 231,355.80 is: 347,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,134.60 : 978,201.90 = 231,355.80 : x
  2. Step 2: Convert to fraction form
    652,134.60/978,201.90 = 231,355.80/x
  3. Step 3: Cross multiply
    652,134.60x = 978,201.90 × 231,355.80
  4. Step 4: Simplify right side
    652,134.60x = 226,312,683,136.02
  5. Step 5: Solve for x
    x = 226,312,683,136.02/652,134.60
  6. Step 6: Final answer
    x = 347,033.70

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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.