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Finding the Fourth Proportional to 683,940.16, 943,952.22 and 463,077.28

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Solution

The fourth proportional to 683,940.16, 943,952.22 and 463,077.28 is: 639,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,940.16 : 943,952.22 = 463,077.28 : x
  2. Step 2: Convert to fraction form
    683,940.16/943,952.22 = 463,077.28/x
  3. Step 3: Cross multiply
    683,940.16x = 943,952.22 × 463,077.28
  4. Step 4: Simplify right side
    683,940.16x = 437,122,826,487.56
  5. Step 5: Solve for x
    x = 437,122,826,487.56/683,940.16
  6. Step 6: Final answer
    x = 639,124.37

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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.