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Finding the Fourth Proportional to 365,222.52, 547,079.04 and 214,999.92

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Solution

The fourth proportional to 365,222.52, 547,079.04 and 214,999.92 is: 322,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,222.52 : 547,079.04 = 214,999.92 : x
  2. Step 2: Convert to fraction form
    365,222.52/547,079.04 = 214,999.92/x
  3. Step 3: Cross multiply
    365,222.52x = 547,079.04 × 214,999.92
  4. Step 4: Simplify right side
    365,222.52x = 117,621,949,833.68
  5. Step 5: Solve for x
    x = 117,621,949,833.68/365,222.52
  6. Step 6: Final answer
    x = 322,055.58

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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.