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Finding the Fourth Proportional to 452,226.73, 678,354.54 and 227,464.42

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Solution

The fourth proportional to 452,226.73, 678,354.54 and 227,464.42 is: 341,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,226.73 : 678,354.54 = 227,464.42 : x
  2. Step 2: Convert to fraction form
    452,226.73/678,354.54 = 227,464.42/x
  3. Step 3: Cross multiply
    452,226.73x = 678,354.54 × 227,464.42
  4. Step 4: Simplify right side
    452,226.73x = 154,301,521,995.47
  5. Step 5: Solve for x
    x = 154,301,521,995.47/452,226.73
  6. Step 6: Final answer
    x = 341,203.90

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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.