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Finding the Fourth Proportional to 470,362.33, 647,913.12 and 379,463.77

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Solution

The fourth proportional to 470,362.33, 647,913.12 and 379,463.77 is: 522,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,362.33 : 647,913.12 = 379,463.77 : x
  2. Step 2: Convert to fraction form
    470,362.33/647,913.12 = 379,463.77/x
  3. Step 3: Cross multiply
    470,362.33x = 647,913.12 × 379,463.77
  4. Step 4: Simplify right side
    470,362.33x = 245,859,555,147.66
  5. Step 5: Solve for x
    x = 245,859,555,147.66/470,362.33
  6. Step 6: Final answer
    x = 522,702.48

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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.