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Finding the Fourth Proportional to 599,606.16, 827,458.66 and 327,678.22

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Solution

The fourth proportional to 599,606.16, 827,458.66 and 327,678.22 is: 452,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,606.16 : 827,458.66 = 327,678.22 : x
  2. Step 2: Convert to fraction form
    599,606.16/827,458.66 = 327,678.22/x
  3. Step 3: Cross multiply
    599,606.16x = 827,458.66 × 327,678.22
  4. Step 4: Simplify right side
    599,606.16x = 271,140,180,832.39
  5. Step 5: Solve for x
    x = 271,140,180,832.39/599,606.16
  6. Step 6: Final answer
    x = 452,197.12

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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.