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Finding the Fourth Proportional to 299,340.63, 448,772.53 and 172,837.38

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Solution

The fourth proportional to 299,340.63, 448,772.53 and 172,837.38 is: 259,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,340.63 : 448,772.53 = 172,837.38 : x
  2. Step 2: Convert to fraction form
    299,340.63/448,772.53 = 172,837.38/x
  3. Step 3: Cross multiply
    299,340.63x = 448,772.53 × 172,837.38
  4. Step 4: Simplify right side
    299,340.63x = 77,564,668,301.17
  5. Step 5: Solve for x
    x = 77,564,668,301.17/299,340.63
  6. Step 6: Final answer
    x = 259,118.41

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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.