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Finding the Fourth Proportional to 576,000, 794,880 and 337,536

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Solution

The fourth proportional to 576,000, 794,880 and 337,536 is: 465,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,000 : 794,880 = 337,536 : x
  2. Step 2: Convert to fraction form
    576,000/794,880 = 337,536/x
  3. Step 3: Cross multiply
    576,000x = 794,880 × 337,536
  4. Step 4: Simplify right side
    576,000x = 268,300,615,680
  5. Step 5: Solve for x
    x = 268,300,615,680/576,000
  6. Step 6: Final answer
    x = 465,799.68

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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.