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Finding the Fourth Proportional to 605,464, 835,566.24 and 337,192

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Solution

The fourth proportional to 605,464, 835,566.24 and 337,192 is: 465,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,464 : 835,566.24 = 337,192 : x
  2. Step 2: Convert to fraction form
    605,464/835,566.24 = 337,192/x
  3. Step 3: Cross multiply
    605,464x = 835,566.24 × 337,192
  4. Step 4: Simplify right side
    605,464x = 281,746,251,598.08
  5. Step 5: Solve for x
    x = 281,746,251,598.08/605,464
  6. Step 6: Final answer
    x = 465,339.40

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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.