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Finding the Fourth Proportional to 489,059.10, 685,149.30 and 489,059.10

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Solution

The fourth proportional to 489,059.10, 685,149.30 and 489,059.10 is: 685,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,059.10 : 685,149.30 = 489,059.10 : x
  2. Step 2: Convert to fraction form
    489,059.10/685,149.30 = 489,059.10/x
  3. Step 3: Cross multiply
    489,059.10x = 685,149.30 × 489,059.10
  4. Step 4: Simplify right side
    489,059.10x = 335,078,500,023.63
  5. Step 5: Solve for x
    x = 335,078,500,023.63/489,059.10
  6. Step 6: Final answer
    x = 685,149.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.