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Finding the Fourth Proportional to 489,386.10, 734,042.70 and 205,003.20

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Solution

The fourth proportional to 489,386.10, 734,042.70 and 205,003.20 is: 307,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,386.10 : 734,042.70 = 205,003.20 : x
  2. Step 2: Convert to fraction form
    489,386.10/734,042.70 = 205,003.20/x
  3. Step 3: Cross multiply
    489,386.10x = 734,042.70 × 205,003.20
  4. Step 4: Simplify right side
    489,386.10x = 150,481,102,436.64
  5. Step 5: Solve for x
    x = 150,481,102,436.64/489,386.10
  6. Step 6: Final answer
    x = 307,489.53

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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.