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Finding the Fourth Proportional to 597,043.80, 823,289.02 and 461,099.88

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Solution

The fourth proportional to 597,043.80, 823,289.02 and 461,099.88 is: 635,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,043.80 : 823,289.02 = 461,099.88 : x
  2. Step 2: Convert to fraction form
    597,043.80/823,289.02 = 461,099.88/x
  3. Step 3: Cross multiply
    597,043.80x = 823,289.02 × 461,099.88
  4. Step 4: Simplify right side
    597,043.80x = 379,618,468,327.32
  5. Step 5: Solve for x
    x = 379,618,468,327.32/597,043.80
  6. Step 6: Final answer
    x = 635,830.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.