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Finding the Fourth Proportional to 489,176.90, 686,422.30 and 489,176.90

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Solution

The fourth proportional to 489,176.90, 686,422.30 and 489,176.90 is: 686,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,176.90 : 686,422.30 = 489,176.90 : x
  2. Step 2: Convert to fraction form
    489,176.90/686,422.30 = 489,176.90/x
  3. Step 3: Cross multiply
    489,176.90x = 686,422.30 × 489,176.90
  4. Step 4: Simplify right side
    489,176.90x = 335,781,932,804.87
  5. Step 5: Solve for x
    x = 335,781,932,804.87/489,176.90
  6. Step 6: Final answer
    x = 686,422.30

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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.