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Finding the Fourth Proportional to 489,092.10, 685,973.10 and 489,092.10

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Solution

The fourth proportional to 489,092.10, 685,973.10 and 489,092.10 is: 685,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,092.10 : 685,973.10 = 489,092.10 : x
  2. Step 2: Convert to fraction form
    489,092.10/685,973.10 = 489,092.10/x
  3. Step 3: Cross multiply
    489,092.10x = 685,973.10 × 489,092.10
  4. Step 4: Simplify right side
    489,092.10x = 335,504,024,022.51
  5. Step 5: Solve for x
    x = 335,504,024,022.51/489,092.10
  6. Step 6: Final answer
    x = 685,973.10

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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.