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Finding the Fourth Proportional to 367,417, 551,160.33 and 142,794.75

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Solution

The fourth proportional to 367,417, 551,160.33 and 142,794.75 is: 214,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,417 : 551,160.33 = 142,794.75 : x
  2. Step 2: Convert to fraction form
    367,417/551,160.33 = 142,794.75/x
  3. Step 3: Cross multiply
    367,417x = 551,160.33 × 142,794.75
  4. Step 4: Simplify right side
    367,417x = 78,702,801,532.27
  5. Step 5: Solve for x
    x = 78,702,801,532.27/367,417
  6. Step 6: Final answer
    x = 214,205.66

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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.