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Finding the Fourth Proportional to 469,349.82, 703,299.96 and 316,949.52

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Solution

The fourth proportional to 469,349.82, 703,299.96 and 316,949.52 is: 474,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,349.82 : 703,299.96 = 316,949.52 : x
  2. Step 2: Convert to fraction form
    469,349.82/703,299.96 = 316,949.52/x
  3. Step 3: Cross multiply
    469,349.82x = 703,299.96 × 316,949.52
  4. Step 4: Simplify right side
    469,349.82x = 222,910,584,738.02
  5. Step 5: Solve for x
    x = 222,910,584,738.02/469,349.82
  6. Step 6: Final answer
    x = 474,934.85

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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.