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Finding the Fourth Proportional to 273,961.86, 410,278.47 and 189,484.93

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Solution

The fourth proportional to 273,961.86, 410,278.47 and 189,484.93 is: 283,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,961.86 : 410,278.47 = 189,484.93 : x
  2. Step 2: Convert to fraction form
    273,961.86/410,278.47 = 189,484.93/x
  3. Step 3: Cross multiply
    273,961.86x = 410,278.47 × 189,484.93
  4. Step 4: Simplify right side
    273,961.86x = 77,741,587,168.46
  5. Step 5: Solve for x
    x = 77,741,587,168.46/273,961.86
  6. Step 6: Final answer
    x = 283,767.92

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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.