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Finding the Fourth Proportional to 457,573.72, 685,954.50 and 173,065.24

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Solution

The fourth proportional to 457,573.72, 685,954.50 and 173,065.24 is: 259,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,573.72 : 685,954.50 = 173,065.24 : x
  2. Step 2: Convert to fraction form
    457,573.72/685,954.50 = 173,065.24/x
  3. Step 3: Cross multiply
    457,573.72x = 685,954.50 × 173,065.24
  4. Step 4: Simplify right side
    457,573.72x = 118,714,880,171.58
  5. Step 5: Solve for x
    x = 118,714,880,171.58/457,573.72
  6. Step 6: Final answer
    x = 259,444.27

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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.