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Finding the Fourth Proportional to 632,907.84, 948,694.32 and 433,174.80

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Solution

The fourth proportional to 632,907.84, 948,694.32 and 433,174.80 is: 649,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,907.84 : 948,694.32 = 433,174.80 : x
  2. Step 2: Convert to fraction form
    632,907.84/948,694.32 = 433,174.80/x
  3. Step 3: Cross multiply
    632,907.84x = 948,694.32 × 433,174.80
  4. Step 4: Simplify right side
    632,907.84x = 410,950,472,327.14
  5. Step 5: Solve for x
    x = 410,950,472,327.14/632,907.84
  6. Step 6: Final answer
    x = 649,305.39

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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.