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Finding the Fourth Proportional to 304,713.63, 456,899.40 and 208,759.19

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Solution

The fourth proportional to 304,713.63, 456,899.40 and 208,759.19 is: 313,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,713.63 : 456,899.40 = 208,759.19 : x
  2. Step 2: Convert to fraction form
    304,713.63/456,899.40 = 208,759.19/x
  3. Step 3: Cross multiply
    304,713.63x = 456,899.40 × 208,759.19
  4. Step 4: Simplify right side
    304,713.63x = 95,381,946,370.99
  5. Step 5: Solve for x
    x = 95,381,946,370.99/304,713.63
  6. Step 6: Final answer
    x = 313,021.59

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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.