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Finding the Fourth Proportional to 468,868.24, 647,037.39 and 254,013.76

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Solution

The fourth proportional to 468,868.24, 647,037.39 and 254,013.76 is: 350,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,868.24 : 647,037.39 = 254,013.76 : x
  2. Step 2: Convert to fraction form
    468,868.24/647,037.39 = 254,013.76/x
  3. Step 3: Cross multiply
    468,868.24x = 647,037.39 × 254,013.76
  4. Step 4: Simplify right side
    468,868.24x = 164,356,400,294.49
  5. Step 5: Solve for x
    x = 164,356,400,294.49/468,868.24
  6. Step 6: Final answer
    x = 350,538.57

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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.