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Finding the Fourth Proportional to 457,707.52, 686,467.43 and 173,299.95

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Solution

The fourth proportional to 457,707.52, 686,467.43 and 173,299.95 is: 259,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,707.52 : 686,467.43 = 173,299.95 : x
  2. Step 2: Convert to fraction form
    457,707.52/686,467.43 = 173,299.95/x
  3. Step 3: Cross multiply
    457,707.52x = 686,467.43 × 173,299.95
  4. Step 4: Simplify right side
    457,707.52x = 118,964,771,728.88
  5. Step 5: Solve for x
    x = 118,964,771,728.88/457,707.52
  6. Step 6: Final answer
    x = 259,914.39

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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.