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Finding the Fourth Proportional to 285,778.90, 428,580.80 and 197,599.06

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Solution

The fourth proportional to 285,778.90, 428,580.80 and 197,599.06 is: 296,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,778.90 : 428,580.80 = 197,599.06 : x
  2. Step 2: Convert to fraction form
    285,778.90/428,580.80 = 197,599.06/x
  3. Step 3: Cross multiply
    285,778.90x = 428,580.80 × 197,599.06
  4. Step 4: Simplify right side
    285,778.90x = 84,687,160,083.15
  5. Step 5: Solve for x
    x = 84,687,160,083.15/285,778.90
  6. Step 6: Final answer
    x = 296,338.05

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Why These Related Problems?

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