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Finding the Fourth Proportional to 457,194.87, 685,542.31 and 363,029.94

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Solution

The fourth proportional to 457,194.87, 685,542.31 and 363,029.94 is: 544,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,194.87 : 685,542.31 = 363,029.94 : x
  2. Step 2: Convert to fraction form
    457,194.87/685,542.31 = 363,029.94/x
  3. Step 3: Cross multiply
    457,194.87x = 685,542.31 × 363,029.94
  4. Step 4: Simplify right side
    457,194.87x = 248,872,382,759.19
  5. Step 5: Solve for x
    x = 248,872,382,759.19/457,194.87
  6. Step 6: Final answer
    x = 544,346.40

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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.