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Finding the Fourth Proportional to 567,414.26, 783,026.98 and 309,286.51

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Solution

The fourth proportional to 567,414.26, 783,026.98 and 309,286.51 is: 426,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,414.26 : 783,026.98 = 309,286.51 : x
  2. Step 2: Convert to fraction form
    567,414.26/783,026.98 = 309,286.51/x
  3. Step 3: Cross multiply
    567,414.26x = 783,026.98 × 309,286.51
  4. Step 4: Simplify right side
    567,414.26x = 242,179,676,418.47
  5. Step 5: Solve for x
    x = 242,179,676,418.47/567,414.26
  6. Step 6: Final answer
    x = 426,812.82

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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.