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Finding the Fourth Proportional to 457,622.78, 686,441.37 and 173,237.00

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Solution

The fourth proportional to 457,622.78, 686,441.37 and 173,237.00 is: 259,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,622.78 : 686,441.37 = 173,237.00 : x
  2. Step 2: Convert to fraction form
    457,622.78/686,441.37 = 173,237.00/x
  3. Step 3: Cross multiply
    457,622.78x = 686,441.37 × 173,237.00
  4. Step 4: Simplify right side
    457,622.78x = 118,917,040,182.48
  5. Step 5: Solve for x
    x = 118,917,040,182.48/457,622.78
  6. Step 6: Final answer
    x = 259,858.22

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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.