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Finding the Fourth Proportional to 580,634.92, 870,472.87 and 256,192.03

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Solution

The fourth proportional to 580,634.92, 870,472.87 and 256,192.03 is: 384,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,634.92 : 870,472.87 = 256,192.03 : x
  2. Step 2: Convert to fraction form
    580,634.92/870,472.87 = 256,192.03/x
  3. Step 3: Cross multiply
    580,634.92x = 870,472.87 × 256,192.03
  4. Step 4: Simplify right side
    580,634.92x = 223,008,207,272.86
  5. Step 5: Solve for x
    x = 223,008,207,272.86/580,634.92
  6. Step 6: Final answer
    x = 384,076.47

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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.