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Finding the Fourth Proportional to 306,976.52, 460,523.10 and 107,353.64

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Solution

The fourth proportional to 306,976.52, 460,523.10 and 107,353.64 is: 161,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,976.52 : 460,523.10 = 107,353.64 : x
  2. Step 2: Convert to fraction form
    306,976.52/460,523.10 = 107,353.64/x
  3. Step 3: Cross multiply
    306,976.52x = 460,523.10 × 107,353.64
  4. Step 4: Simplify right side
    306,976.52x = 49,438,831,089.08
  5. Step 5: Solve for x
    x = 49,438,831,089.08/306,976.52
  6. Step 6: Final answer
    x = 161,050.86

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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.