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Finding the Fourth Proportional to 407,863.86, 563,003.70 and 350,271.92

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Solution

The fourth proportional to 407,863.86, 563,003.70 and 350,271.92 is: 483,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,863.86 : 563,003.70 = 350,271.92 : x
  2. Step 2: Convert to fraction form
    407,863.86/563,003.70 = 350,271.92/x
  3. Step 3: Cross multiply
    407,863.86x = 563,003.70 × 350,271.92
  4. Step 4: Simplify right side
    407,863.86x = 197,204,384,151.09
  5. Step 5: Solve for x
    x = 197,204,384,151.09/407,863.86
  6. Step 6: Final answer
    x = 483,505.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.