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Finding the Fourth Proportional to 705,841.94, 1,058,497.87 and 256,451.86

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Solution

The fourth proportional to 705,841.94, 1,058,497.87 and 256,451.86 is: 384,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,841.94 : 1,058,497.87 = 256,451.86 : x
  2. Step 2: Convert to fraction form
    705,841.94/1,058,497.87 = 256,451.86/x
  3. Step 3: Cross multiply
    705,841.94x = 1,058,497.87 × 256,451.86
  4. Step 4: Simplify right side
    705,841.94x = 271,453,747,567.54
  5. Step 5: Solve for x
    x = 271,453,747,567.54/705,841.94
  6. Step 6: Final answer
    x = 384,581.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.