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Finding the Fourth Proportional to 285,615.60, 428,423.40 and 274,729.20

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Solution

The fourth proportional to 285,615.60, 428,423.40 and 274,729.20 is: 412,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,615.60 : 428,423.40 = 274,729.20 : x
  2. Step 2: Convert to fraction form
    285,615.60/428,423.40 = 274,729.20/x
  3. Step 3: Cross multiply
    285,615.60x = 428,423.40 × 274,729.20
  4. Step 4: Simplify right side
    285,615.60x = 117,700,417,943.28
  5. Step 5: Solve for x
    x = 117,700,417,943.28/285,615.60
  6. Step 6: Final answer
    x = 412,093.80

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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.