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Finding the Fourth Proportional to 336,644.11, 464,737.22 and 209,360.71

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Solution

The fourth proportional to 336,644.11, 464,737.22 and 209,360.71 is: 289,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,644.11 : 464,737.22 = 209,360.71 : x
  2. Step 2: Convert to fraction form
    336,644.11/464,737.22 = 209,360.71/x
  3. Step 3: Cross multiply
    336,644.11x = 464,737.22 × 209,360.71
  4. Step 4: Simplify right side
    336,644.11x = 97,297,712,919.08
  5. Step 5: Solve for x
    x = 97,297,712,919.08/336,644.11
  6. Step 6: Final answer
    x = 289,022.47

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Why These Related Problems?

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