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Finding the Fourth Proportional to 306,634.17, 459,784.32 and 106,900.86

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Solution

The fourth proportional to 306,634.17, 459,784.32 and 106,900.86 is: 160,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,634.17 : 459,784.32 = 106,900.86 : x
  2. Step 2: Convert to fraction form
    306,634.17/459,784.32 = 106,900.86/x
  3. Step 3: Cross multiply
    306,634.17x = 459,784.32 × 106,900.86
  4. Step 4: Simplify right side
    306,634.17x = 49,151,339,222.52
  5. Step 5: Solve for x
    x = 49,151,339,222.52/306,634.17
  6. Step 6: Final answer
    x = 160,293.09

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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.