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Finding the Fourth Proportional to 499,054.75, 748,796.64 and 162,198.70

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Solution

The fourth proportional to 499,054.75, 748,796.64 and 162,198.70 is: 243,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,054.75 : 748,796.64 = 162,198.70 : x
  2. Step 2: Convert to fraction form
    499,054.75/748,796.64 = 162,198.70/x
  3. Step 3: Cross multiply
    499,054.75x = 748,796.64 × 162,198.70
  4. Step 4: Simplify right side
    499,054.75x = 121,453,841,572.37
  5. Step 5: Solve for x
    x = 121,453,841,572.37/499,054.75
  6. Step 6: Final answer
    x = 243,367.77

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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.