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Finding the Fourth Proportional to 285,641.40, 428,522 and 85,976.40

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Solution

The fourth proportional to 285,641.40, 428,522 and 85,976.40 is: 128,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,641.40 : 428,522 = 85,976.40 : x
  2. Step 2: Convert to fraction form
    285,641.40/428,522 = 85,976.40/x
  3. Step 3: Cross multiply
    285,641.40x = 428,522 × 85,976.40
  4. Step 4: Simplify right side
    285,641.40x = 36,842,778,880.80
  5. Step 5: Solve for x
    x = 36,842,778,880.80/285,641.40
  6. Step 6: Final answer
    x = 128,982.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.