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Finding the Fourth Proportional to 397,375.83, 596,065.11 and 97,863.48

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Solution

The fourth proportional to 397,375.83, 596,065.11 and 97,863.48 is: 146,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,375.83 : 596,065.11 = 97,863.48 : x
  2. Step 2: Convert to fraction form
    397,375.83/596,065.11 = 97,863.48/x
  3. Step 3: Cross multiply
    397,375.83x = 596,065.11 × 97,863.48
  4. Step 4: Simplify right side
    397,375.83x = 58,333,005,971.18
  5. Step 5: Solve for x
    x = 58,333,005,971.18/397,375.83
  6. Step 6: Final answer
    x = 146,795.56

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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.