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Finding the Fourth Proportional to 397,182.53, 595,768.60 and 97,665.70

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Solution

The fourth proportional to 397,182.53, 595,768.60 and 97,665.70 is: 146,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,182.53 : 595,768.60 = 97,665.70 : x
  2. Step 2: Convert to fraction form
    397,182.53/595,768.60 = 97,665.70/x
  3. Step 3: Cross multiply
    397,182.53x = 595,768.60 × 97,665.70
  4. Step 4: Simplify right side
    397,182.53x = 58,186,156,868.69
  5. Step 5: Solve for x
    x = 58,186,156,868.69/397,182.53
  6. Step 6: Final answer
    x = 146,497.27

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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.