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Finding the Fourth Proportional to 705,874, 1,058,342.91 and 256,541.49

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Solution

The fourth proportional to 705,874, 1,058,342.91 and 256,541.49 is: 384,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,874 : 1,058,342.91 = 256,541.49 : x
  2. Step 2: Convert to fraction form
    705,874/1,058,342.91 = 256,541.49/x
  3. Step 3: Cross multiply
    705,874x = 1,058,342.91 × 256,541.49
  4. Step 4: Simplify right side
    705,874x = 271,508,867,062.34
  5. Step 5: Solve for x
    x = 271,508,867,062.34/705,874
  6. Step 6: Final answer
    x = 384,642.11

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Why These Related Problems?

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