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Finding the Fourth Proportional to 306,926.88, 460,269.36 and 149,108.64

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Solution

The fourth proportional to 306,926.88, 460,269.36 and 149,108.64 is: 223,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,926.88 : 460,269.36 = 149,108.64 : x
  2. Step 2: Convert to fraction form
    306,926.88/460,269.36 = 149,108.64/x
  3. Step 3: Cross multiply
    306,926.88x = 460,269.36 × 149,108.64
  4. Step 4: Simplify right side
    306,926.88x = 68,630,138,303.27
  5. Step 5: Solve for x
    x = 68,630,138,303.27/306,926.88
  6. Step 6: Final answer
    x = 223,604.20

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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.