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Finding the Fourth Proportional to 397,162.74, 595,409.27 and 172,353.83

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Solution

The fourth proportional to 397,162.74, 595,409.27 and 172,353.83 is: 258,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,162.74 : 595,409.27 = 172,353.83 : x
  2. Step 2: Convert to fraction form
    397,162.74/595,409.27 = 172,353.83/x
  3. Step 3: Cross multiply
    397,162.74x = 595,409.27 × 172,353.83
  4. Step 4: Simplify right side
    397,162.74x = 102,621,068,728.76
  5. Step 5: Solve for x
    x = 102,621,068,728.76/397,162.74
  6. Step 6: Final answer
    x = 258,385.44

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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.