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Finding the Fourth Proportional to 397,910.92, 596,807.52 and 145,132.24

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Solution

The fourth proportional to 397,910.92, 596,807.52 and 145,132.24 is: 217,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,910.92 : 596,807.52 = 145,132.24 : x
  2. Step 2: Convert to fraction form
    397,910.92/596,807.52 = 145,132.24/x
  3. Step 3: Cross multiply
    397,910.92x = 596,807.52 × 145,132.24
  4. Step 4: Simplify right side
    397,910.92x = 86,616,012,226.44
  5. Step 5: Solve for x
    x = 86,616,012,226.44/397,910.92
  6. Step 6: Final answer
    x = 217,676.89

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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.