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Finding the Fourth Proportional to 299,339.13, 448,770.29 and 172,835.88

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Solution

The fourth proportional to 299,339.13, 448,770.29 and 172,835.88 is: 259,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,339.13 : 448,770.29 = 172,835.88 : x
  2. Step 2: Convert to fraction form
    299,339.13/448,770.29 = 172,835.88/x
  3. Step 3: Cross multiply
    299,339.13x = 448,770.29 × 172,835.88
  4. Step 4: Simplify right side
    299,339.13x = 77,563,607,125.83
  5. Step 5: Solve for x
    x = 77,563,607,125.83/299,339.13
  6. Step 6: Final answer
    x = 259,116.16

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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.