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Finding the Fourth Proportional to 463,963.77, 640,314.95 and 260,049.33

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Solution

The fourth proportional to 463,963.77, 640,314.95 and 260,049.33 is: 358,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,963.77 : 640,314.95 = 260,049.33 : x
  2. Step 2: Convert to fraction form
    463,963.77/640,314.95 = 260,049.33/x
  3. Step 3: Cross multiply
    463,963.77x = 640,314.95 × 260,049.33
  4. Step 4: Simplify right side
    463,963.77x = 166,513,472,436.24
  5. Step 5: Solve for x
    x = 166,513,472,436.24/463,963.77
  6. Step 6: Final answer
    x = 358,893.27

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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.