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Finding the Fourth Proportional to 397,794.47, 596,693.33 and 161,141.63

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Solution

The fourth proportional to 397,794.47, 596,693.33 and 161,141.63 is: 241,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,794.47 : 596,693.33 = 161,141.63 : x
  2. Step 2: Convert to fraction form
    397,794.47/596,693.33 = 161,141.63/x
  3. Step 3: Cross multiply
    397,794.47x = 596,693.33 × 161,141.63
  4. Step 4: Simplify right side
    397,794.47x = 96,152,135,000.62
  5. Step 5: Solve for x
    x = 96,152,135,000.62/397,794.47
  6. Step 6: Final answer
    x = 241,713.10

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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.