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Finding the Fourth Proportional to 280,199.86, 417,832.03 and 277,672.66

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Solution

The fourth proportional to 280,199.86, 417,832.03 and 277,672.66 is: 414,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,199.86 : 417,832.03 = 277,672.66 : x
  2. Step 2: Convert to fraction form
    280,199.86/417,832.03 = 277,672.66/x
  3. Step 3: Cross multiply
    280,199.86x = 417,832.03 × 277,672.66
  4. Step 4: Simplify right side
    280,199.86x = 116,020,531,203.30
  5. Step 5: Solve for x
    x = 116,020,531,203.30/280,199.86
  6. Step 6: Final answer
    x = 414,063.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.