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Finding the Fourth Proportional to 314,928,410.80, 472,392,616.20 and 277,940,117.20

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Solution

The fourth proportional to 314,928,410.80, 472,392,616.20 and 277,940,117.20 is: 416,910,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,410.80 : 472,392,616.20 = 277,940,117.20 : x
  2. Step 2: Convert to fraction form
    314,928,410.80/472,392,616.20 = 277,940,117.20/x
  3. Step 3: Cross multiply
    314,928,410.80x = 472,392,616.20 × 277,940,117.20
  4. Step 4: Simplify right side
    314,928,410.80x = 131,296,859,111,042,608
  5. Step 5: Solve for x
    x = 131,296,859,111,042,608/314,928,410.80
  6. Step 6: Final answer
    x = 416,910,175.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.