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Finding the Fourth Proportional to 498,668.30, 688,221.34 and 280,884.14

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Solution

The fourth proportional to 498,668.30, 688,221.34 and 280,884.14 is: 387,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,668.30 : 688,221.34 = 280,884.14 : x
  2. Step 2: Convert to fraction form
    498,668.30/688,221.34 = 280,884.14/x
  3. Step 3: Cross multiply
    498,668.30x = 688,221.34 × 280,884.14
  4. Step 4: Simplify right side
    498,668.30x = 193,310,459,215.55
  5. Step 5: Solve for x
    x = 193,310,459,215.55/498,668.30
  6. Step 6: Final answer
    x = 387,653.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.