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Finding the Fourth Proportional to 274,879.32, 412,411.24 and 148,530.86

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Solution

The fourth proportional to 274,879.32, 412,411.24 and 148,530.86 is: 222,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,879.32 : 412,411.24 = 148,530.86 : x
  2. Step 2: Convert to fraction form
    274,879.32/412,411.24 = 148,530.86/x
  3. Step 3: Cross multiply
    274,879.32x = 412,411.24 × 148,530.86
  4. Step 4: Simplify right side
    274,879.32x = 61,255,796,150.87
  5. Step 5: Solve for x
    x = 61,255,796,150.87/274,879.32
  6. Step 6: Final answer
    x = 222,846.14

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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.