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Finding the Fourth Proportional to 489,563.17, 734,379.86 and 204,967.33

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Solution

The fourth proportional to 489,563.17, 734,379.86 and 204,967.33 is: 307,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,563.17 : 734,379.86 = 204,967.33 : x
  2. Step 2: Convert to fraction form
    489,563.17/734,379.86 = 204,967.33/x
  3. Step 3: Cross multiply
    489,563.17x = 734,379.86 × 204,967.33
  4. Step 4: Simplify right side
    489,563.17x = 150,523,878,085.14
  5. Step 5: Solve for x
    x = 150,523,878,085.14/489,563.17
  6. Step 6: Final answer
    x = 307,465.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.