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Finding the Fourth Proportional to 306,384.74, 459,589.48 and 106,725.32

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Solution

The fourth proportional to 306,384.74, 459,589.48 and 106,725.32 is: 160,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,384.74 : 459,589.48 = 106,725.32 : x
  2. Step 2: Convert to fraction form
    306,384.74/459,589.48 = 106,725.32/x
  3. Step 3: Cross multiply
    306,384.74x = 459,589.48 × 106,725.32
  4. Step 4: Simplify right side
    306,384.74x = 49,049,835,203.79
  5. Step 5: Solve for x
    x = 49,049,835,203.79/306,384.74
  6. Step 6: Final answer
    x = 160,092.29

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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.