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Finding the Fourth Proportional to 512,386.31, 701,965.97 and 493,225.36

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Solution

The fourth proportional to 512,386.31, 701,965.97 and 493,225.36 is: 675,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,386.31 : 701,965.97 = 493,225.36 : x
  2. Step 2: Convert to fraction form
    512,386.31/701,965.97 = 493,225.36/x
  3. Step 3: Cross multiply
    512,386.31x = 701,965.97 × 493,225.36
  4. Step 4: Simplify right side
    512,386.31x = 346,227,418,261.00
  5. Step 5: Solve for x
    x = 346,227,418,261.00/512,386.31
  6. Step 6: Final answer
    x = 675,715.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.