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Finding the Fourth Proportional to 392,037.36, 540,812.14 and 256,150.86

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Solution

The fourth proportional to 392,037.36, 540,812.14 and 256,150.86 is: 353,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,037.36 : 540,812.14 = 256,150.86 : x
  2. Step 2: Convert to fraction form
    392,037.36/540,812.14 = 256,150.86/x
  3. Step 3: Cross multiply
    392,037.36x = 540,812.14 × 256,150.86
  4. Step 4: Simplify right side
    392,037.36x = 138,529,494,759.44
  5. Step 5: Solve for x
    x = 138,529,494,759.44/392,037.36
  6. Step 6: Final answer
    x = 353,357.89

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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.