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Finding the Fourth Proportional to 306,645.20, 459,694.20 and 119,613.20

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Solution

The fourth proportional to 306,645.20, 459,694.20 and 119,613.20 is: 179,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,645.20 : 459,694.20 = 119,613.20 : x
  2. Step 2: Convert to fraction form
    306,645.20/459,694.20 = 119,613.20/x
  3. Step 3: Cross multiply
    306,645.20x = 459,694.20 × 119,613.20
  4. Step 4: Simplify right side
    306,645.20x = 54,985,494,283.44
  5. Step 5: Solve for x
    x = 54,985,494,283.44/306,645.20
  6. Step 6: Final answer
    x = 179,313.08

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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.