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Finding the Fourth Proportional to 616,471.20, 924,015.60 and 261,424.80

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Solution

The fourth proportional to 616,471.20, 924,015.60 and 261,424.80 is: 391,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,471.20 : 924,015.60 = 261,424.80 : x
  2. Step 2: Convert to fraction form
    616,471.20/924,015.60 = 261,424.80/x
  3. Step 3: Cross multiply
    616,471.20x = 924,015.60 × 261,424.80
  4. Step 4: Simplify right side
    616,471.20x = 241,560,593,426.88
  5. Step 5: Solve for x
    x = 241,560,593,426.88/616,471.20
  6. Step 6: Final answer
    x = 391,844.09

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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.