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Finding the Fourth Proportional to 397,184.53, 595,771.59 and 97,667.70

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Solution

The fourth proportional to 397,184.53, 595,771.59 and 97,667.70 is: 146,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,184.53 : 595,771.59 = 97,667.70 : x
  2. Step 2: Convert to fraction form
    397,184.53/595,771.59 = 97,667.70/x
  3. Step 3: Cross multiply
    397,184.53x = 595,771.59 × 97,667.70
  4. Step 4: Simplify right side
    397,184.53x = 58,187,640,920.64
  5. Step 5: Solve for x
    x = 58,187,640,920.64/397,184.53
  6. Step 6: Final answer
    x = 146,500.27

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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.