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Finding the Fourth Proportional to 306,418.87, 459,311.32 and 116,828.25

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Solution

The fourth proportional to 306,418.87, 459,311.32 and 116,828.25 is: 175,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,418.87 : 459,311.32 = 116,828.25 : x
  2. Step 2: Convert to fraction form
    306,418.87/459,311.32 = 116,828.25/x
  3. Step 3: Cross multiply
    306,418.87x = 459,311.32 × 116,828.25
  4. Step 4: Simplify right side
    306,418.87x = 53,660,537,720.79
  5. Step 5: Solve for x
    x = 53,660,537,720.79/306,418.87
  6. Step 6: Final answer
    x = 175,121.52

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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.