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Finding the Fourth Proportional to 599,712, 827,580 and 327,777.66

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Solution

The fourth proportional to 599,712, 827,580 and 327,777.66 is: 452,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,712 : 827,580 = 327,777.66 : x
  2. Step 2: Convert to fraction form
    599,712/827,580 = 327,777.66/x
  3. Step 3: Cross multiply
    599,712x = 827,580 × 327,777.66
  4. Step 4: Simplify right side
    599,712x = 271,262,235,862.80
  5. Step 5: Solve for x
    x = 271,262,235,862.80/599,712
  6. Step 6: Final answer
    x = 452,320.84

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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.