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Finding the Fourth Proportional to 457,458.45, 685,695.60 and 173,039.10

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Solution

The fourth proportional to 457,458.45, 685,695.60 and 173,039.10 is: 259,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,458.45 : 685,695.60 = 173,039.10 : x
  2. Step 2: Convert to fraction form
    457,458.45/685,695.60 = 173,039.10/x
  3. Step 3: Cross multiply
    457,458.45x = 685,695.60 × 173,039.10
  4. Step 4: Simplify right side
    457,458.45x = 118,652,149,497.96
  5. Step 5: Solve for x
    x = 118,652,149,497.96/457,458.45
  6. Step 6: Final answer
    x = 259,372.52

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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.