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Finding the Fourth Proportional to 306,598.34, 459,899.56 and 106,917.96

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Solution

The fourth proportional to 306,598.34, 459,899.56 and 106,917.96 is: 160,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,598.34 : 459,899.56 = 106,917.96 : x
  2. Step 2: Convert to fraction form
    306,598.34/459,899.56 = 106,917.96/x
  3. Step 3: Cross multiply
    306,598.34x = 459,899.56 × 106,917.96
  4. Step 4: Simplify right side
    306,598.34x = 49,171,522,760.10
  5. Step 5: Solve for x
    x = 49,171,522,760.10/306,598.34
  6. Step 6: Final answer
    x = 160,377.65

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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.