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Finding the Fourth Proportional to 306,384.38, 459,588.92 and 106,724.96

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Solution

The fourth proportional to 306,384.38, 459,588.92 and 106,724.96 is: 160,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,384.38 : 459,588.92 = 106,724.96 : x
  2. Step 2: Convert to fraction form
    306,384.38/459,588.92 = 106,724.96/x
  3. Step 3: Cross multiply
    306,384.38x = 459,588.92 × 106,724.96
  4. Step 4: Simplify right side
    306,384.38x = 49,049,606,271.87
  5. Step 5: Solve for x
    x = 49,049,606,271.87/306,384.38
  6. Step 6: Final answer
    x = 160,091.74

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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.