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Finding the Fourth Proportional to 385,099.20, 577,843.20 and 174,602.88

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Solution

The fourth proportional to 385,099.20, 577,843.20 and 174,602.88 is: 261,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,099.20 : 577,843.20 = 174,602.88 : x
  2. Step 2: Convert to fraction form
    385,099.20/577,843.20 = 174,602.88/x
  3. Step 3: Cross multiply
    385,099.20x = 577,843.20 × 174,602.88
  4. Step 4: Simplify right side
    385,099.20x = 100,893,086,908.42
  5. Step 5: Solve for x
    x = 100,893,086,908.42/385,099.20
  6. Step 6: Final answer
    x = 261,992.46

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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.