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Finding the Fourth Proportional to 597,564.20, 896,324.70 and 242,568.20

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Solution

The fourth proportional to 597,564.20, 896,324.70 and 242,568.20 is: 363,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,564.20 : 896,324.70 = 242,568.20 : x
  2. Step 2: Convert to fraction form
    597,564.20/896,324.70 = 242,568.20/x
  3. Step 3: Cross multiply
    597,564.20x = 896,324.70 × 242,568.20
  4. Step 4: Simplify right side
    597,564.20x = 217,419,869,094.54
  5. Step 5: Solve for x
    x = 217,419,869,094.54/597,564.20
  6. Step 6: Final answer
    x = 363,843.53

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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.