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Finding the Fourth Proportional to 475,509.96, 713,257.72 and 115,684.20

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Solution

The fourth proportional to 475,509.96, 713,257.72 and 115,684.20 is: 173,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,509.96 : 713,257.72 = 115,684.20 : x
  2. Step 2: Convert to fraction form
    475,509.96/713,257.72 = 115,684.20/x
  3. Step 3: Cross multiply
    475,509.96x = 713,257.72 × 115,684.20
  4. Step 4: Simplify right side
    475,509.96x = 82,512,648,732.02
  5. Step 5: Solve for x
    x = 82,512,648,732.02/475,509.96
  6. Step 6: Final answer
    x = 173,524.54

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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.