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Finding the Fourth Proportional to 299,348.88, 413,172.27 and 172,098.42

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Solution

The fourth proportional to 299,348.88, 413,172.27 and 172,098.42 is: 237,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,348.88 : 413,172.27 = 172,098.42 : x
  2. Step 2: Convert to fraction form
    299,348.88/413,172.27 = 172,098.42/x
  3. Step 3: Cross multiply
    299,348.88x = 413,172.27 × 172,098.42
  4. Step 4: Simplify right side
    299,348.88x = 71,106,294,854.81
  5. Step 5: Solve for x
    x = 71,106,294,854.81/299,348.88
  6. Step 6: Final answer
    x = 237,536.53

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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.