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Finding the Fourth Proportional to 301,366.68, 415,782.78 and 172,212.36

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Solution

The fourth proportional to 301,366.68, 415,782.78 and 172,212.36 is: 237,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,366.68 : 415,782.78 = 172,212.36 : x
  2. Step 2: Convert to fraction form
    301,366.68/415,782.78 = 172,212.36/x
  3. Step 3: Cross multiply
    301,366.68x = 415,782.78 × 172,212.36
  4. Step 4: Simplify right side
    301,366.68x = 71,602,933,791.16
  5. Step 5: Solve for x
    x = 71,602,933,791.16/301,366.68
  6. Step 6: Final answer
    x = 237,594.06

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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.