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Finding the Fourth Proportional to 297,709.26, 411,053.13 and 183,141.90

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Solution

The fourth proportional to 297,709.26, 411,053.13 and 183,141.90 is: 252,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,709.26 : 411,053.13 = 183,141.90 : x
  2. Step 2: Convert to fraction form
    297,709.26/411,053.13 = 183,141.90/x
  3. Step 3: Cross multiply
    297,709.26x = 411,053.13 × 183,141.90
  4. Step 4: Simplify right side
    297,709.26x = 75,281,051,229.15
  5. Step 5: Solve for x
    x = 75,281,051,229.15/297,709.26
  6. Step 6: Final answer
    x = 252,867.68

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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.