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Finding the Fourth Proportional to 412,083.40, 617,829.90 and 159,147.40

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Solution

The fourth proportional to 412,083.40, 617,829.90 and 159,147.40 is: 238,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,083.40 : 617,829.90 = 159,147.40 : x
  2. Step 2: Convert to fraction form
    412,083.40/617,829.90 = 159,147.40/x
  3. Step 3: Cross multiply
    412,083.40x = 617,829.90 × 159,147.40
  4. Step 4: Simplify right side
    412,083.40x = 98,326,022,227.26
  5. Step 5: Solve for x
    x = 98,326,022,227.26/412,083.40
  6. Step 6: Final answer
    x = 238,607.09

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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.