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Finding the Fourth Proportional to 457,716.17, 686,093.64 and 154,004.89

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Solution

The fourth proportional to 457,716.17, 686,093.64 and 154,004.89 is: 230,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,716.17 : 686,093.64 = 154,004.89 : x
  2. Step 2: Convert to fraction form
    457,716.17/686,093.64 = 154,004.89/x
  3. Step 3: Cross multiply
    457,716.17x = 686,093.64 × 154,004.89
  4. Step 4: Simplify right side
    457,716.17x = 105,661,775,557.90
  5. Step 5: Solve for x
    x = 105,661,775,557.90/457,716.17
  6. Step 6: Final answer
    x = 230,845.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.