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Finding the Fourth Proportional to 489,029.10, 685,107.30 and 489,029.10

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Solution

The fourth proportional to 489,029.10, 685,107.30 and 489,029.10 is: 685,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,029.10 : 685,107.30 = 489,029.10 : x
  2. Step 2: Convert to fraction form
    489,029.10/685,107.30 = 489,029.10/x
  3. Step 3: Cross multiply
    489,029.10x = 685,107.30 × 489,029.10
  4. Step 4: Simplify right side
    489,029.10x = 335,037,406,322.43
  5. Step 5: Solve for x
    x = 335,037,406,322.43/489,029.10
  6. Step 6: Final answer
    x = 685,107.30

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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.