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Finding the Fourth Proportional to 377,811.86, 520,493.34 and 262,893.14

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Solution

The fourth proportional to 377,811.86, 520,493.34 and 262,893.14 is: 362,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,811.86 : 520,493.34 = 262,893.14 : x
  2. Step 2: Convert to fraction form
    377,811.86/520,493.34 = 262,893.14/x
  3. Step 3: Cross multiply
    377,811.86x = 520,493.34 × 262,893.14
  4. Step 4: Simplify right side
    377,811.86x = 136,834,125,899.22
  5. Step 5: Solve for x
    x = 136,834,125,899.22/377,811.86
  6. Step 6: Final answer
    x = 362,175.31

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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.