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Finding the Fourth Proportional to 493,309.74, 739,970.19 and 173,471.11

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Solution

The fourth proportional to 493,309.74, 739,970.19 and 173,471.11 is: 260,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,309.74 : 739,970.19 = 173,471.11 : x
  2. Step 2: Convert to fraction form
    493,309.74/739,970.19 = 173,471.11/x
  3. Step 3: Cross multiply
    493,309.74x = 739,970.19 × 173,471.11
  4. Step 4: Simplify right side
    493,309.74x = 128,363,450,226.21
  5. Step 5: Solve for x
    x = 128,363,450,226.21/493,309.74
  6. Step 6: Final answer
    x = 260,208.63

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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.