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Finding the Fourth Proportional to 512,025.24, 767,970.42 and 152,188.42

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Solution

The fourth proportional to 512,025.24, 767,970.42 and 152,188.42 is: 228,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,025.24 : 767,970.42 = 152,188.42 : x
  2. Step 2: Convert to fraction form
    512,025.24/767,970.42 = 152,188.42/x
  3. Step 3: Cross multiply
    512,025.24x = 767,970.42 × 152,188.42
  4. Step 4: Simplify right side
    512,025.24x = 116,876,204,826.54
  5. Step 5: Solve for x
    x = 116,876,204,826.54/512,025.24
  6. Step 6: Final answer
    x = 228,262.58

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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.