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Finding the Fourth Proportional to 503,814.46, 695,253.54 and 274,375.76

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Solution

The fourth proportional to 503,814.46, 695,253.54 and 274,375.76 is: 378,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,814.46 : 695,253.54 = 274,375.76 : x
  2. Step 2: Convert to fraction form
    503,814.46/695,253.54 = 274,375.76/x
  3. Step 3: Cross multiply
    503,814.46x = 695,253.54 × 274,375.76
  4. Step 4: Simplify right side
    503,814.46x = 190,760,718,430.19
  5. Step 5: Solve for x
    x = 190,760,718,430.19/503,814.46
  6. Step 6: Final answer
    x = 378,632.88

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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.