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Finding the Fourth Proportional to 468,873.36, 703,407.24 and 188,412.48

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Solution

The fourth proportional to 468,873.36, 703,407.24 and 188,412.48 is: 282,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,873.36 : 703,407.24 = 188,412.48 : x
  2. Step 2: Convert to fraction form
    468,873.36/703,407.24 = 188,412.48/x
  3. Step 3: Cross multiply
    468,873.36x = 703,407.24 × 188,412.48
  4. Step 4: Simplify right side
    468,873.36x = 132,530,702,538.36
  5. Step 5: Solve for x
    x = 132,530,702,538.36/468,873.36
  6. Step 6: Final answer
    x = 282,657.78

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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.