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Finding the Fourth Proportional to 408,126.68, 610,399.41 and 363,463.01

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Solution

The fourth proportional to 408,126.68, 610,399.41 and 363,463.01 is: 543,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,126.68 : 610,399.41 = 363,463.01 : x
  2. Step 2: Convert to fraction form
    408,126.68/610,399.41 = 363,463.01/x
  3. Step 3: Cross multiply
    408,126.68x = 610,399.41 × 363,463.01
  4. Step 4: Simplify right side
    408,126.68x = 221,857,603,808.83
  5. Step 5: Solve for x
    x = 221,857,603,808.83/408,126.68
  6. Step 6: Final answer
    x = 543,599.86

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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.