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Finding the Fourth Proportional to 472,443.36, 709,002 and 262,249.44

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Solution

The fourth proportional to 472,443.36, 709,002 and 262,249.44 is: 393,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,443.36 : 709,002 = 262,249.44 : x
  2. Step 2: Convert to fraction form
    472,443.36/709,002 = 262,249.44/x
  3. Step 3: Cross multiply
    472,443.36x = 709,002 × 262,249.44
  4. Step 4: Simplify right side
    472,443.36x = 185,935,377,458.88
  5. Step 5: Solve for x
    x = 185,935,377,458.88/472,443.36
  6. Step 6: Final answer
    x = 393,561.20

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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.