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Finding the Fourth Proportional to 540,738.92, 746,224.58 and 299,037.76

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Solution

The fourth proportional to 540,738.92, 746,224.58 and 299,037.76 is: 412,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,738.92 : 746,224.58 = 299,037.76 : x
  2. Step 2: Convert to fraction form
    540,738.92/746,224.58 = 299,037.76/x
  3. Step 3: Cross multiply
    540,738.92x = 746,224.58 × 299,037.76
  4. Step 4: Simplify right side
    540,738.92x = 223,149,325,742.17
  5. Step 5: Solve for x
    x = 223,149,325,742.17/540,738.92
  6. Step 6: Final answer
    x = 412,674.80

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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.