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Finding the Fourth Proportional to 408,748.62, 616,962.09 and 408,748.62

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Solution

The fourth proportional to 408,748.62, 616,962.09 and 408,748.62 is: 616,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,748.62 : 616,962.09 = 408,748.62 : x
  2. Step 2: Convert to fraction form
    408,748.62/616,962.09 = 408,748.62/x
  3. Step 3: Cross multiply
    408,748.62x = 616,962.09 × 408,748.62
  4. Step 4: Simplify right side
    408,748.62x = 252,182,402,879.82
  5. Step 5: Solve for x
    x = 252,182,402,879.82/408,748.62
  6. Step 6: Final answer
    x = 616,962.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.