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Finding the Fourth Proportional to 503,539.74, 694,900.50 and 274,112.30

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Solution

The fourth proportional to 503,539.74, 694,900.50 and 274,112.30 is: 378,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,539.74 : 694,900.50 = 274,112.30 : x
  2. Step 2: Convert to fraction form
    503,539.74/694,900.50 = 274,112.30/x
  3. Step 3: Cross multiply
    503,539.74x = 694,900.50 × 274,112.30
  4. Step 4: Simplify right side
    503,539.74x = 190,480,772,955.59
  5. Step 5: Solve for x
    x = 190,480,772,955.59/503,539.74
  6. Step 6: Final answer
    x = 378,283.50

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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.