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Finding the Fourth Proportional to 285,613.20, 428,010.20 and 210,144.40

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Solution

The fourth proportional to 285,613.20, 428,010.20 and 210,144.40 is: 314,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,613.20 : 428,010.20 = 210,144.40 : x
  2. Step 2: Convert to fraction form
    285,613.20/428,010.20 = 210,144.40/x
  3. Step 3: Cross multiply
    285,613.20x = 428,010.20 × 210,144.40
  4. Step 4: Simplify right side
    285,613.20x = 89,943,946,672.88
  5. Step 5: Solve for x
    x = 89,943,946,672.88/285,613.20
  6. Step 6: Final answer
    x = 314,915.23

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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.