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Finding the Fourth Proportional to 306,700.10, 460,064.55 and 96,344.90

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Solution

The fourth proportional to 306,700.10, 460,064.55 and 96,344.90 is: 144,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,700.10 : 460,064.55 = 96,344.90 : x
  2. Step 2: Convert to fraction form
    306,700.10/460,064.55 = 96,344.90/x
  3. Step 3: Cross multiply
    306,700.10x = 460,064.55 × 96,344.90
  4. Step 4: Simplify right side
    306,700.10x = 44,324,873,063.30
  5. Step 5: Solve for x
    x = 44,324,873,063.30/306,700.10
  6. Step 6: Final answer
    x = 144,521.87

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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.