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Finding the Fourth Proportional to 408,755.78, 616,973.23 and 408,755.78

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Solution

The fourth proportional to 408,755.78, 616,973.23 and 408,755.78 is: 616,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,755.78 : 616,973.23 = 408,755.78 : x
  2. Step 2: Convert to fraction form
    408,755.78/616,973.23 = 408,755.78/x
  3. Step 3: Cross multiply
    408,755.78x = 616,973.23 × 408,755.78
  4. Step 4: Simplify right side
    408,755.78x = 252,191,373,867.77
  5. Step 5: Solve for x
    x = 252,191,373,867.77/408,755.78
  6. Step 6: Final answer
    x = 616,973.23

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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.