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Finding the Fourth Proportional to 462,797.84, 693,404.28 and 252,583.28

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Solution

The fourth proportional to 462,797.84, 693,404.28 and 252,583.28 is: 378,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,797.84 : 693,404.28 = 252,583.28 : x
  2. Step 2: Convert to fraction form
    462,797.84/693,404.28 = 252,583.28/x
  3. Step 3: Cross multiply
    462,797.84x = 693,404.28 × 252,583.28
  4. Step 4: Simplify right side
    462,797.84x = 175,142,327,408.44
  5. Step 5: Solve for x
    x = 175,142,327,408.44/462,797.84
  6. Step 6: Final answer
    x = 378,442.40

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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.