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Finding the Fourth Proportional to 422,510.70, 633,766.05 and 254,549.10

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Solution

The fourth proportional to 422,510.70, 633,766.05 and 254,549.10 is: 381,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,510.70 : 633,766.05 = 254,549.10 : x
  2. Step 2: Convert to fraction form
    422,510.70/633,766.05 = 254,549.10/x
  3. Step 3: Cross multiply
    422,510.70x = 633,766.05 × 254,549.10
  4. Step 4: Simplify right side
    422,510.70x = 161,324,577,638.06
  5. Step 5: Solve for x
    x = 161,324,577,638.06/422,510.70
  6. Step 6: Final answer
    x = 381,823.65

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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.