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Finding the Fourth Proportional to 362,083.29, 499,327.77 and 216,865.81

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Solution

The fourth proportional to 362,083.29, 499,327.77 and 216,865.81 is: 299,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,083.29 : 499,327.77 = 216,865.81 : x
  2. Step 2: Convert to fraction form
    362,083.29/499,327.77 = 216,865.81/x
  3. Step 3: Cross multiply
    362,083.29x = 499,327.77 × 216,865.81
  4. Step 4: Simplify right side
    362,083.29x = 108,287,121,296.54
  5. Step 5: Solve for x
    x = 108,287,121,296.54/362,083.29
  6. Step 6: Final answer
    x = 299,066.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.