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Finding the Fourth Proportional to 541,212.80, 746,380.22 and 464,707.89

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Solution

The fourth proportional to 541,212.80, 746,380.22 and 464,707.89 is: 640,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,212.80 : 746,380.22 = 464,707.89 : x
  2. Step 2: Convert to fraction form
    541,212.80/746,380.22 = 464,707.89/x
  3. Step 3: Cross multiply
    541,212.80x = 746,380.22 × 464,707.89
  4. Step 4: Simplify right side
    541,212.80x = 346,848,774,850.40
  5. Step 5: Solve for x
    x = 346,848,774,850.40/541,212.80
  6. Step 6: Final answer
    x = 640,873.20

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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.