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Finding the Fourth Proportional to 297,788.52, 411,012.96 and 183,165.68

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Solution

The fourth proportional to 297,788.52, 411,012.96 and 183,165.68 is: 252,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,788.52 : 411,012.96 = 183,165.68 : x
  2. Step 2: Convert to fraction form
    297,788.52/411,012.96 = 183,165.68/x
  3. Step 3: Cross multiply
    297,788.52x = 411,012.96 × 183,165.68
  4. Step 4: Simplify right side
    297,788.52x = 75,283,468,307.21
  5. Step 5: Solve for x
    x = 75,283,468,307.21/297,788.52
  6. Step 6: Final answer
    x = 252,808.50

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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.