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Finding the Fourth Proportional to 365,161.08, 546,924.80 and 211,098.36

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Solution

The fourth proportional to 365,161.08, 546,924.80 and 211,098.36 is: 316,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,161.08 : 546,924.80 = 211,098.36 : x
  2. Step 2: Convert to fraction form
    365,161.08/546,924.80 = 211,098.36/x
  3. Step 3: Cross multiply
    365,161.08x = 546,924.80 × 211,098.36
  4. Step 4: Simplify right side
    365,161.08x = 115,454,928,323.33
  5. Step 5: Solve for x
    x = 115,454,928,323.33/365,161.08
  6. Step 6: Final answer
    x = 316,175.34

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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.