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Finding the Fourth Proportional to 349,494.86, 523,401.44 and 199,279.76

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Solution

The fourth proportional to 349,494.86, 523,401.44 and 199,279.76 is: 298,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,494.86 : 523,401.44 = 199,279.76 : x
  2. Step 2: Convert to fraction form
    349,494.86/523,401.44 = 199,279.76/x
  3. Step 3: Cross multiply
    349,494.86x = 523,401.44 × 199,279.76
  4. Step 4: Simplify right side
    349,494.86x = 104,303,309,733.45
  5. Step 5: Solve for x
    x = 104,303,309,733.45/349,494.86
  6. Step 6: Final answer
    x = 298,440.19

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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.