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Finding the Fourth Proportional to 463,944.61, 640,288.38 and 260,029.90

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Solution

The fourth proportional to 463,944.61, 640,288.38 and 260,029.90 is: 358,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,944.61 : 640,288.38 = 260,029.90 : x
  2. Step 2: Convert to fraction form
    463,944.61/640,288.38 = 260,029.90/x
  3. Step 3: Cross multiply
    463,944.61x = 640,288.38 × 260,029.90
  4. Step 4: Simplify right side
    463,944.61x = 166,494,123,422.56
  5. Step 5: Solve for x
    x = 166,494,123,422.56/463,944.61
  6. Step 6: Final answer
    x = 358,866.38

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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.