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Finding the Fourth Proportional to 457,092.40, 685,431.24 and 297,010.48

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Solution

The fourth proportional to 457,092.40, 685,431.24 and 297,010.48 is: 445,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,092.40 : 685,431.24 = 297,010.48 : x
  2. Step 2: Convert to fraction form
    457,092.40/685,431.24 = 297,010.48/x
  3. Step 3: Cross multiply
    457,092.40x = 685,431.24 × 297,010.48
  4. Step 4: Simplify right side
    457,092.40x = 203,580,261,599.40
  5. Step 5: Solve for x
    x = 203,580,261,599.40/457,092.40
  6. Step 6: Final answer
    x = 445,380.98

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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.