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Finding the Fourth Proportional to 576,002, 794,882.76 and 337,538

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Solution

The fourth proportional to 576,002, 794,882.76 and 337,538 is: 465,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,002 : 794,882.76 = 337,538 : x
  2. Step 2: Convert to fraction form
    576,002/794,882.76 = 337,538/x
  3. Step 3: Cross multiply
    576,002x = 794,882.76 × 337,538
  4. Step 4: Simplify right side
    576,002x = 268,303,137,044.88
  5. Step 5: Solve for x
    x = 268,303,137,044.88/576,002
  6. Step 6: Final answer
    x = 465,802.44

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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.