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Finding the Fourth Proportional to 397,308.96, 595,950.24 and 172,669.62

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Solution

The fourth proportional to 397,308.96, 595,950.24 and 172,669.62 is: 258,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,308.96 : 595,950.24 = 172,669.62 : x
  2. Step 2: Convert to fraction form
    397,308.96/595,950.24 = 172,669.62/x
  3. Step 3: Cross multiply
    397,308.96x = 595,950.24 × 172,669.62
  4. Step 4: Simplify right side
    397,308.96x = 102,902,501,479.71
  5. Step 5: Solve for x
    x = 102,902,501,479.71/397,308.96
  6. Step 6: Final answer
    x = 258,998.69

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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.