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Finding the Fourth Proportional to 463,206, 689,747.60 and 446,181.60

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Solution

The fourth proportional to 463,206, 689,747.60 and 446,181.60 is: 664,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,206 : 689,747.60 = 446,181.60 : x
  2. Step 2: Convert to fraction form
    463,206/689,747.60 = 446,181.60/x
  3. Step 3: Cross multiply
    463,206x = 689,747.60 × 446,181.60
  4. Step 4: Simplify right side
    463,206x = 307,752,687,764.16
  5. Step 5: Solve for x
    x = 307,752,687,764.16/463,206
  6. Step 6: Final answer
    x = 664,397.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.