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Finding the Fourth Proportional to 463,855.52, 640,151.16 and 259,895.36

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Solution

The fourth proportional to 463,855.52, 640,151.16 and 259,895.36 is: 358,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,855.52 : 640,151.16 = 259,895.36 : x
  2. Step 2: Convert to fraction form
    463,855.52/640,151.16 = 259,895.36/x
  3. Step 3: Cross multiply
    463,855.52x = 640,151.16 × 259,895.36
  4. Step 4: Simplify right side
    463,855.52x = 166,372,316,182.62
  5. Step 5: Solve for x
    x = 166,372,316,182.62/463,855.52
  6. Step 6: Final answer
    x = 358,672.71

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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.