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Finding the Fourth Proportional to 384,234.30, 575,579.79 and 191,527.61

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Solution

The fourth proportional to 384,234.30, 575,579.79 and 191,527.61 is: 286,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,234.30 : 575,579.79 = 191,527.61 : x
  2. Step 2: Convert to fraction form
    384,234.30/575,579.79 = 191,527.61/x
  3. Step 3: Cross multiply
    384,234.30x = 575,579.79 × 191,527.61
  4. Step 4: Simplify right side
    384,234.30x = 110,239,418,665.10
  5. Step 5: Solve for x
    x = 110,239,418,665.10/384,234.30
  6. Step 6: Final answer
    x = 286,906.76

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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.