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Finding the Fourth Proportional to 304,163.96, 456,089.46 and 177,832.04

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Solution

The fourth proportional to 304,163.96, 456,089.46 and 177,832.04 is: 266,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,163.96 : 456,089.46 = 177,832.04 : x
  2. Step 2: Convert to fraction form
    304,163.96/456,089.46 = 177,832.04/x
  3. Step 3: Cross multiply
    304,163.96x = 456,089.46 × 177,832.04
  4. Step 4: Simplify right side
    304,163.96x = 81,107,319,094.30
  5. Step 5: Solve for x
    x = 81,107,319,094.30/304,163.96
  6. Step 6: Final answer
    x = 266,656.57

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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.