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Finding the Fourth Proportional to 322,337.74, 482,842.12 and 188,813.18

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Solution

The fourth proportional to 322,337.74, 482,842.12 and 188,813.18 is: 282,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,337.74 : 482,842.12 = 188,813.18 : x
  2. Step 2: Convert to fraction form
    322,337.74/482,842.12 = 188,813.18/x
  3. Step 3: Cross multiply
    322,337.74x = 482,842.12 × 188,813.18
  4. Step 4: Simplify right side
    322,337.74x = 91,166,956,115.14
  5. Step 5: Solve for x
    x = 91,166,956,115.14/322,337.74
  6. Step 6: Final answer
    x = 282,830.54

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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.