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Finding the Fourth Proportional to 663,660, 995,493.65 and 165,024

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Solution

The fourth proportional to 663,660, 995,493.65 and 165,024 is: 247,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,660 : 995,493.65 = 165,024 : x
  2. Step 2: Convert to fraction form
    663,660/995,493.65 = 165,024/x
  3. Step 3: Cross multiply
    663,660x = 995,493.65 × 165,024
  4. Step 4: Simplify right side
    663,660x = 164,280,343,272.48
  5. Step 5: Solve for x
    x = 164,280,343,272.48/663,660
  6. Step 6: Final answer
    x = 247,536.91

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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.