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Finding the Fourth Proportional to 599,712.95, 827,617.14 and 327,798.78

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Solution

The fourth proportional to 599,712.95, 827,617.14 and 327,798.78 is: 452,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,712.95 : 827,617.14 = 327,798.78 : x
  2. Step 2: Convert to fraction form
    599,712.95/827,617.14 = 327,798.78/x
  3. Step 3: Cross multiply
    599,712.95x = 827,617.14 × 327,798.78
  4. Step 4: Simplify right side
    599,712.95x = 271,291,888,799.09
  5. Step 5: Solve for x
    x = 271,291,888,799.09/599,712.95
  6. Step 6: Final answer
    x = 452,369.57

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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.