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Finding the Fourth Proportional to 397,462.32, 548,501.76 and 216,175.68

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Solution

The fourth proportional to 397,462.32, 548,501.76 and 216,175.68 is: 298,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,462.32 : 548,501.76 = 216,175.68 : x
  2. Step 2: Convert to fraction form
    397,462.32/548,501.76 = 216,175.68/x
  3. Step 3: Cross multiply
    397,462.32x = 548,501.76 × 216,175.68
  4. Step 4: Simplify right side
    397,462.32x = 118,572,740,949.20
  5. Step 5: Solve for x
    x = 118,572,740,949.20/397,462.32
  6. Step 6: Final answer
    x = 298,324.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.