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Finding the Fourth Proportional to 475,238.78, 712,858.52 and 120,252.46

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Solution

The fourth proportional to 475,238.78, 712,858.52 and 120,252.46 is: 180,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,238.78 : 712,858.52 = 120,252.46 : x
  2. Step 2: Convert to fraction form
    475,238.78/712,858.52 = 120,252.46/x
  3. Step 3: Cross multiply
    475,238.78x = 712,858.52 × 120,252.46
  4. Step 4: Simplify right side
    475,238.78x = 85,722,990,661.96
  5. Step 5: Solve for x
    x = 85,722,990,661.96/475,238.78
  6. Step 6: Final answer
    x = 180,378.78

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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.