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Finding the Fourth Proportional to 285,697.44, 428,549.82 and 196,927.12

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Solution

The fourth proportional to 285,697.44, 428,549.82 and 196,927.12 is: 295,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,697.44 : 428,549.82 = 196,927.12 : x
  2. Step 2: Convert to fraction form
    285,697.44/428,549.82 = 196,927.12/x
  3. Step 3: Cross multiply
    285,697.44x = 428,549.82 × 196,927.12
  4. Step 4: Simplify right side
    285,697.44x = 84,393,081,829.12
  5. Step 5: Solve for x
    x = 84,393,081,829.12/285,697.44
  6. Step 6: Final answer
    x = 295,393.20

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1.5x scale

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.