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Finding the Fourth Proportional to 307,872.62, 461,808.75 and 224,165.42

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Solution

The fourth proportional to 307,872.62, 461,808.75 and 224,165.42 is: 336,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872.62 : 461,808.75 = 224,165.42 : x
  2. Step 2: Convert to fraction form
    307,872.62/461,808.75 = 224,165.42/x
  3. Step 3: Cross multiply
    307,872.62x = 461,808.75 × 224,165.42
  4. Step 4: Simplify right side
    307,872.62x = 103,521,552,403.43
  5. Step 5: Solve for x
    x = 103,521,552,403.43/307,872.62
  6. Step 6: Final answer
    x = 336,248.00

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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.