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Finding the Fourth Proportional to 384,707.51, 576,891.65 and 204,749.51

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Solution

The fourth proportional to 384,707.51, 576,891.65 and 204,749.51 is: 307,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,707.51 : 576,891.65 = 204,749.51 : x
  2. Step 2: Convert to fraction form
    384,707.51/576,891.65 = 204,749.51/x
  3. Step 3: Cross multiply
    384,707.51x = 576,891.65 × 204,749.51
  4. Step 4: Simplify right side
    384,707.51x = 118,118,282,660.59
  5. Step 5: Solve for x
    x = 118,118,282,660.59/384,707.51
  6. Step 6: Final answer
    x = 307,033.99

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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.