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Finding the Fourth Proportional to 397,729.10, 548,866.25 and 218,881.10

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Solution

The fourth proportional to 397,729.10, 548,866.25 and 218,881.10 is: 302,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,729.10 : 548,866.25 = 218,881.10 : x
  2. Step 2: Convert to fraction form
    397,729.10/548,866.25 = 218,881.10/x
  3. Step 3: Cross multiply
    397,729.10x = 548,866.25 × 218,881.10
  4. Step 4: Simplify right side
    397,729.10x = 120,136,448,552.88
  5. Step 5: Solve for x
    x = 120,136,448,552.88/397,729.10
  6. Step 6: Final answer
    x = 302,055.97

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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.