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Finding the Fourth Proportional to 322,513.14, 483,582.76 and 109,209.85

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Solution

The fourth proportional to 322,513.14, 483,582.76 and 109,209.85 is: 163,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,513.14 : 483,582.76 = 109,209.85 : x
  2. Step 2: Convert to fraction form
    322,513.14/483,582.76 = 109,209.85/x
  3. Step 3: Cross multiply
    322,513.14x = 483,582.76 × 109,209.85
  4. Step 4: Simplify right side
    322,513.14x = 52,812,000,682.19
  5. Step 5: Solve for x
    x = 52,812,000,682.19/322,513.14
  6. Step 6: Final answer
    x = 163,751.47

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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.