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Finding the Fourth Proportional to 543,093.87, 749,458.17 and 301,374.48

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Solution

The fourth proportional to 543,093.87, 749,458.17 and 301,374.48 is: 415,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,093.87 : 749,458.17 = 301,374.48 : x
  2. Step 2: Convert to fraction form
    543,093.87/749,458.17 = 301,374.48/x
  3. Step 3: Cross multiply
    543,093.87x = 749,458.17 × 301,374.48
  4. Step 4: Simplify right side
    543,093.87x = 225,867,566,265.50
  5. Step 5: Solve for x
    x = 225,867,566,265.50/543,093.87
  6. Step 6: Final answer
    x = 415,890.47

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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.