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Finding the Fourth Proportional to 397,335.45, 596,003.18 and 97,813.65

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Solution

The fourth proportional to 397,335.45, 596,003.18 and 97,813.65 is: 146,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,335.45 : 596,003.18 = 97,813.65 : x
  2. Step 2: Convert to fraction form
    397,335.45/596,003.18 = 97,813.65/x
  3. Step 3: Cross multiply
    397,335.45x = 596,003.18 × 97,813.65
  4. Step 4: Simplify right side
    397,335.45x = 58,297,246,447.41
  5. Step 5: Solve for x
    x = 58,297,246,447.41/397,335.45
  6. Step 6: Final answer
    x = 146,720.48

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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.