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Finding the Fourth Proportional to 299,682, 413,573.04 and 172,357.44

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Solution

The fourth proportional to 299,682, 413,573.04 and 172,357.44 is: 237,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,682 : 413,573.04 = 172,357.44 : x
  2. Step 2: Convert to fraction form
    299,682/413,573.04 = 172,357.44/x
  3. Step 3: Cross multiply
    299,682x = 413,573.04 × 172,357.44
  4. Step 4: Simplify right side
    299,682x = 71,282,390,427.42
  5. Step 5: Solve for x
    x = 71,282,390,427.42/299,682
  6. Step 6: Final answer
    x = 237,860.10

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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.