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Finding the Fourth Proportional to 306,612.56, 459,899.64 and 114,449.48

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Solution

The fourth proportional to 306,612.56, 459,899.64 and 114,449.48 is: 171,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,612.56 : 459,899.64 = 114,449.48 : x
  2. Step 2: Convert to fraction form
    306,612.56/459,899.64 = 114,449.48/x
  3. Step 3: Cross multiply
    306,612.56x = 459,899.64 × 114,449.48
  4. Step 4: Simplify right side
    306,612.56x = 52,635,274,650.19
  5. Step 5: Solve for x
    x = 52,635,274,650.19/306,612.56
  6. Step 6: Final answer
    x = 171,667.05

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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.