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Finding the Fourth Proportional to 464,469.84, 640,978.02 and 263,265.84

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Solution

The fourth proportional to 464,469.84, 640,978.02 and 263,265.84 is: 363,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,469.84 : 640,978.02 = 263,265.84 : x
  2. Step 2: Convert to fraction form
    464,469.84/640,978.02 = 263,265.84/x
  3. Step 3: Cross multiply
    464,469.84x = 640,978.02 × 263,265.84
  4. Step 4: Simplify right side
    464,469.84x = 168,747,616,856.84
  5. Step 5: Solve for x
    x = 168,747,616,856.84/464,469.84
  6. Step 6: Final answer
    x = 363,312.32

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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.