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Finding the Fourth Proportional to 505,938.24, 698,196.57 and 276,495.63

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Solution

The fourth proportional to 505,938.24, 698,196.57 and 276,495.63 is: 381,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,938.24 : 698,196.57 = 276,495.63 : x
  2. Step 2: Convert to fraction form
    505,938.24/698,196.57 = 276,495.63/x
  3. Step 3: Cross multiply
    505,938.24x = 698,196.57 × 276,495.63
  4. Step 4: Simplify right side
    505,938.24x = 193,048,300,485.99
  5. Step 5: Solve for x
    x = 193,048,300,485.99/505,938.24
  6. Step 6: Final answer
    x = 381,564.95

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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.