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Finding the Fourth Proportional to 299,672.76, 413,561.01 and 172,348.47

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Solution

The fourth proportional to 299,672.76, 413,561.01 and 172,348.47 is: 237,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,672.76 : 413,561.01 = 172,348.47 : x
  2. Step 2: Convert to fraction form
    299,672.76/413,561.01 = 172,348.47/x
  3. Step 3: Cross multiply
    299,672.76x = 413,561.01 × 172,348.47
  4. Step 4: Simplify right side
    299,672.76x = 71,276,607,325.15
  5. Step 5: Solve for x
    x = 71,276,607,325.15/299,672.76
  6. Step 6: Final answer
    x = 237,848.14

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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.