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Finding the Fourth Proportional to 418,475.20, 627,712.80 and 418,475.20

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Solution

The fourth proportional to 418,475.20, 627,712.80 and 418,475.20 is: 627,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,475.20 : 627,712.80 = 418,475.20 : x
  2. Step 2: Convert to fraction form
    418,475.20/627,712.80 = 418,475.20/x
  3. Step 3: Cross multiply
    418,475.20x = 627,712.80 × 418,475.20
  4. Step 4: Simplify right side
    418,475.20x = 262,682,239,522.56
  5. Step 5: Solve for x
    x = 262,682,239,522.56/418,475.20
  6. Step 6: Final answer
    x = 627,712.80

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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.