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Finding the Fourth Proportional to 306,544, 459,815.52 and 96,198.08

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Solution

The fourth proportional to 306,544, 459,815.52 and 96,198.08 is: 144,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,544 : 459,815.52 = 96,198.08 : x
  2. Step 2: Convert to fraction form
    306,544/459,815.52 = 96,198.08/x
  3. Step 3: Cross multiply
    306,544x = 459,815.52 × 96,198.08
  4. Step 4: Simplify right side
    306,544x = 44,233,370,178.20
  5. Step 5: Solve for x
    x = 44,233,370,178.20/306,544
  6. Step 6: Final answer
    x = 144,296.97

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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.