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Finding the Fourth Proportional to 489,093.50, 674,955.92 and 295,474.29

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Solution

The fourth proportional to 489,093.50, 674,955.92 and 295,474.29 is: 407,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,093.50 : 674,955.92 = 295,474.29 : x
  2. Step 2: Convert to fraction form
    489,093.50/674,955.92 = 295,474.29/x
  3. Step 3: Cross multiply
    489,093.50x = 674,955.92 × 295,474.29
  4. Step 4: Simplify right side
    489,093.50x = 199,432,118,342.87
  5. Step 5: Solve for x
    x = 199,432,118,342.87/489,093.50
  6. Step 6: Final answer
    x = 407,758.68

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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.