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Finding the Fourth Proportional to 299,663.51, 413,548.22 and 172,339.21

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Solution

The fourth proportional to 299,663.51, 413,548.22 and 172,339.21 is: 237,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,663.51 : 413,548.22 = 172,339.21 : x
  2. Step 2: Convert to fraction form
    299,663.51/413,548.22 = 172,339.21/x
  3. Step 3: Cross multiply
    299,663.51x = 413,548.22 × 172,339.21
  4. Step 4: Simplify right side
    299,663.51x = 71,270,573,531.71
  5. Step 5: Solve for x
    x = 71,270,573,531.71/299,663.51
  6. Step 6: Final answer
    x = 237,835.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.