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Finding the Fourth Proportional to 512,197.92, 767,772 and 196,570.08

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Solution

The fourth proportional to 512,197.92, 767,772 and 196,570.08 is: 294,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,197.92 : 767,772 = 196,570.08 : x
  2. Step 2: Convert to fraction form
    512,197.92/767,772 = 196,570.08/x
  3. Step 3: Cross multiply
    512,197.92x = 767,772 × 196,570.08
  4. Step 4: Simplify right side
    512,197.92x = 150,921,003,461.76
  5. Step 5: Solve for x
    x = 150,921,003,461.76/512,197.92
  6. Step 6: Final answer
    x = 294,653.68

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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.