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Finding the Fourth Proportional to 522,152.32, 782,622.34 and 197,734.19

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Solution

The fourth proportional to 522,152.32, 782,622.34 and 197,734.19 is: 296,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,152.32 : 782,622.34 = 197,734.19 : x
  2. Step 2: Convert to fraction form
    522,152.32/782,622.34 = 197,734.19/x
  3. Step 3: Cross multiply
    522,152.32x = 782,622.34 × 197,734.19
  4. Step 4: Simplify right side
    522,152.32x = 154,751,193,003.19
  5. Step 5: Solve for x
    x = 154,751,193,003.19/522,152.32
  6. Step 6: Final answer
    x = 296,371.74

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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.