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Finding the Fourth Proportional to 306,382.86, 459,586.65 and 106,723.44

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Solution

The fourth proportional to 306,382.86, 459,586.65 and 106,723.44 is: 160,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,382.86 : 459,586.65 = 106,723.44 : x
  2. Step 2: Convert to fraction form
    306,382.86/459,586.65 = 106,723.44/x
  3. Step 3: Cross multiply
    306,382.86x = 459,586.65 × 106,723.44
  4. Step 4: Simplify right side
    306,382.86x = 49,048,668,266.08
  5. Step 5: Solve for x
    x = 49,048,668,266.08/306,382.86
  6. Step 6: Final answer
    x = 160,089.47

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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.