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Finding the Fourth Proportional to 464,416.62, 640,902.15 and 260,512.80

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Solution

The fourth proportional to 464,416.62, 640,902.15 and 260,512.80 is: 359,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,416.62 : 640,902.15 = 260,512.80 : x
  2. Step 2: Convert to fraction form
    464,416.62/640,902.15 = 260,512.80/x
  3. Step 3: Cross multiply
    464,416.62x = 640,902.15 × 260,512.80
  4. Step 4: Simplify right side
    464,416.62x = 166,963,213,622.52
  5. Step 5: Solve for x
    x = 166,963,213,622.52/464,416.62
  6. Step 6: Final answer
    x = 359,511.71

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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.