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Finding the Fourth Proportional to 489,094.24, 674,941.38 and 274,233.64

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Solution

The fourth proportional to 489,094.24, 674,941.38 and 274,233.64 is: 378,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,094.24 : 674,941.38 = 274,233.64 : x
  2. Step 2: Convert to fraction form
    489,094.24/674,941.38 = 274,233.64/x
  3. Step 3: Cross multiply
    489,094.24x = 674,941.38 × 274,233.64
  4. Step 4: Simplify right side
    489,094.24x = 185,091,631,424.02
  5. Step 5: Solve for x
    x = 185,091,631,424.02/489,094.24
  6. Step 6: Final answer
    x = 378,437.56

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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.