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Finding the Fourth Proportional to 493,467.86, 740,272.40 and 151,940.19

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Solution

The fourth proportional to 493,467.86, 740,272.40 and 151,940.19 is: 227,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,467.86 : 740,272.40 = 151,940.19 : x
  2. Step 2: Convert to fraction form
    493,467.86/740,272.40 = 151,940.19/x
  3. Step 3: Cross multiply
    493,467.86x = 740,272.40 × 151,940.19
  4. Step 4: Simplify right side
    493,467.86x = 112,477,127,529.82
  5. Step 5: Solve for x
    x = 112,477,127,529.82/493,467.86
  6. Step 6: Final answer
    x = 227,932.02

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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.