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Finding the Fourth Proportional to 463,914, 640,202.67 and 270,436.59

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Solution

The fourth proportional to 463,914, 640,202.67 and 270,436.59 is: 373,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,914 : 640,202.67 = 270,436.59 : x
  2. Step 2: Convert to fraction form
    463,914/640,202.67 = 270,436.59/x
  3. Step 3: Cross multiply
    463,914x = 640,202.67 × 270,436.59
  4. Step 4: Simplify right side
    463,914x = 173,134,226,983.70
  5. Step 5: Solve for x
    x = 173,134,226,983.70/463,914
  6. Step 6: Final answer
    x = 373,203.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.