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Finding the Fourth Proportional to 522,152.45, 782,622.53 and 197,734.32

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Solution

The fourth proportional to 522,152.45, 782,622.53 and 197,734.32 is: 296,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,152.45 : 782,622.53 = 197,734.32 : x
  2. Step 2: Convert to fraction form
    522,152.45/782,622.53 = 197,734.32/x
  3. Step 3: Cross multiply
    522,152.45x = 782,622.53 × 197,734.32
  4. Step 4: Simplify right side
    522,152.45x = 154,751,328,884.45
  5. Step 5: Solve for x
    x = 154,751,328,884.45/522,152.45
  6. Step 6: Final answer
    x = 296,371.93

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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.