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Finding the Fourth Proportional to 330,796.68, 496,483.12 and 188,926

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Solution

The fourth proportional to 330,796.68, 496,483.12 and 188,926 is: 283,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,796.68 : 496,483.12 = 188,926 : x
  2. Step 2: Convert to fraction form
    330,796.68/496,483.12 = 188,926/x
  3. Step 3: Cross multiply
    330,796.68x = 496,483.12 × 188,926
  4. Step 4: Simplify right side
    330,796.68x = 93,798,569,929.12
  5. Step 5: Solve for x
    x = 93,798,569,929.12/330,796.68
  6. Step 6: Final answer
    x = 283,553.54

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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.