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Finding the Fourth Proportional to 522,056.57, 783,231.86 and 202,305.02

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Solution

The fourth proportional to 522,056.57, 783,231.86 and 202,305.02 is: 303,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,056.57 : 783,231.86 = 202,305.02 : x
  2. Step 2: Convert to fraction form
    522,056.57/783,231.86 = 202,305.02/x
  3. Step 3: Cross multiply
    522,056.57x = 783,231.86 × 202,305.02
  4. Step 4: Simplify right side
    522,056.57x = 158,451,733,691.54
  5. Step 5: Solve for x
    x = 158,451,733,691.54/522,056.57
  6. Step 6: Final answer
    x = 303,514.49

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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.