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Finding the Fourth Proportional to 517,660.67, 714,261.92 and 326,563.31

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Solution

The fourth proportional to 517,660.67, 714,261.92 and 326,563.31 is: 450,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,660.67 : 714,261.92 = 326,563.31 : x
  2. Step 2: Convert to fraction form
    517,660.67/714,261.92 = 326,563.31/x
  3. Step 3: Cross multiply
    517,660.67x = 714,261.92 × 326,563.31
  4. Step 4: Simplify right side
    517,660.67x = 233,251,736,954.99
  5. Step 5: Solve for x
    x = 233,251,736,954.99/517,660.67
  6. Step 6: Final answer
    x = 450,588.10

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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.