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Finding the Fourth Proportional to 306,638.80, 460,034.76 and 106,962.10

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Solution

The fourth proportional to 306,638.80, 460,034.76 and 106,962.10 is: 160,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,638.80 : 460,034.76 = 106,962.10 : x
  2. Step 2: Convert to fraction form
    306,638.80/460,034.76 = 106,962.10/x
  3. Step 3: Cross multiply
    306,638.80x = 460,034.76 × 106,962.10
  4. Step 4: Simplify right side
    306,638.80x = 49,206,284,002.60
  5. Step 5: Solve for x
    x = 49,206,284,002.60/306,638.80
  6. Step 6: Final answer
    x = 160,469.86

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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.