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Finding the Fourth Proportional to 306,675.20, 459,739.20 and 119,643.20

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Solution

The fourth proportional to 306,675.20, 459,739.20 and 119,643.20 is: 179,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,675.20 : 459,739.20 = 119,643.20 : x
  2. Step 2: Convert to fraction form
    306,675.20/459,739.20 = 119,643.20/x
  3. Step 3: Cross multiply
    306,675.20x = 459,739.20 × 119,643.20
  4. Step 4: Simplify right side
    306,675.20x = 55,004,669,053.44
  5. Step 5: Solve for x
    x = 55,004,669,053.44/306,675.20
  6. Step 6: Final answer
    x = 179,358.06

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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.