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Finding the Fourth Proportional to 541,221.87, 746,867.81 and 299,514.63

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Solution

The fourth proportional to 541,221.87, 746,867.81 and 299,514.63 is: 413,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,221.87 : 746,867.81 = 299,514.63 : x
  2. Step 2: Convert to fraction form
    541,221.87/746,867.81 = 299,514.63/x
  3. Step 3: Cross multiply
    541,221.87x = 746,867.81 × 299,514.63
  4. Step 4: Simplify right side
    541,221.87x = 223,697,834,273.49
  5. Step 5: Solve for x
    x = 223,697,834,273.49/541,221.87
  6. Step 6: Final answer
    x = 413,320.02

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