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Finding the Fourth Proportional to 463,229.04, 693,491.40 and 285,201.84

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Solution

The fourth proportional to 463,229.04, 693,491.40 and 285,201.84 is: 426,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,229.04 : 693,491.40 = 285,201.84 : x
  2. Step 2: Convert to fraction form
    463,229.04/693,491.40 = 285,201.84/x
  3. Step 3: Cross multiply
    463,229.04x = 693,491.40 × 285,201.84
  4. Step 4: Simplify right side
    463,229.04x = 197,785,023,304.18
  5. Step 5: Solve for x
    x = 197,785,023,304.18/463,229.04
  6. Step 6: Final answer
    x = 426,970.26

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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.