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Finding the Fourth Proportional to 610,815.18, 842,896.50 and 338,880.18

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Solution

The fourth proportional to 610,815.18, 842,896.50 and 338,880.18 is: 467,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,815.18 : 842,896.50 = 338,880.18 : x
  2. Step 2: Convert to fraction form
    610,815.18/842,896.50 = 338,880.18/x
  3. Step 3: Cross multiply
    610,815.18x = 842,896.50 × 338,880.18
  4. Step 4: Simplify right side
    610,815.18x = 285,640,917,641.37
  5. Step 5: Solve for x
    x = 285,640,917,641.37/610,815.18
  6. Step 6: Final answer
    x = 467,638.87

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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.