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Finding the Fourth Proportional to 605,722, 835,913.64 and 337,467.28

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Solution

The fourth proportional to 605,722, 835,913.64 and 337,467.28 is: 465,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,722 : 835,913.64 = 337,467.28 : x
  2. Step 2: Convert to fraction form
    605,722/835,913.64 = 337,467.28/x
  3. Step 3: Cross multiply
    605,722x = 835,913.64 × 337,467.28
  4. Step 4: Simplify right side
    605,722x = 282,093,502,405.70
  5. Step 5: Solve for x
    x = 282,093,502,405.70/605,722
  6. Step 6: Final answer
    x = 465,714.47

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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.