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Finding the Fourth Proportional to 512,275.14, 706,936.37 and 282,846.69

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Solution

The fourth proportional to 512,275.14, 706,936.37 and 282,846.69 is: 390,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,275.14 : 706,936.37 = 282,846.69 : x
  2. Step 2: Convert to fraction form
    512,275.14/706,936.37 = 282,846.69/x
  3. Step 3: Cross multiply
    512,275.14x = 706,936.37 × 282,846.69
  4. Step 4: Simplify right side
    512,275.14x = 199,954,610,880.88
  5. Step 5: Solve for x
    x = 199,954,610,880.88/512,275.14
  6. Step 6: Final answer
    x = 390,326.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.