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Finding the Fourth Proportional to 503,524.86, 694,881.36 and 274,090.50

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Solution

The fourth proportional to 503,524.86, 694,881.36 and 274,090.50 is: 378,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,524.86 : 694,881.36 = 274,090.50 : x
  2. Step 2: Convert to fraction form
    503,524.86/694,881.36 = 274,090.50/x
  3. Step 3: Cross multiply
    503,524.86x = 694,881.36 × 274,090.50
  4. Step 4: Simplify right side
    503,524.86x = 190,460,379,403.08
  5. Step 5: Solve for x
    x = 190,460,379,403.08/503,524.86
  6. Step 6: Final answer
    x = 378,254.17

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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.