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Finding the Fourth Proportional to 599,205.21, 897,784.79 and 329,559.05

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Solution

The fourth proportional to 599,205.21, 897,784.79 and 329,559.05 is: 493,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,205.21 : 897,784.79 = 329,559.05 : x
  2. Step 2: Convert to fraction form
    599,205.21/897,784.79 = 329,559.05/x
  3. Step 3: Cross multiply
    599,205.21x = 897,784.79 × 329,559.05
  4. Step 4: Simplify right side
    599,205.21x = 295,873,098,970.36
  5. Step 5: Solve for x
    x = 295,873,098,970.36/599,205.21
  6. Step 6: Final answer
    x = 493,775.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.