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Finding the Fourth Proportional to 705,393, 1,058,129.60 and 225,662.94

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Solution

The fourth proportional to 705,393, 1,058,129.60 and 225,662.94 is: 338,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,393 : 1,058,129.60 = 225,662.94 : x
  2. Step 2: Convert to fraction form
    705,393/1,058,129.60 = 225,662.94/x
  3. Step 3: Cross multiply
    705,393x = 1,058,129.60 × 225,662.94
  4. Step 4: Simplify right side
    705,393x = 238,780,635,308.71
  5. Step 5: Solve for x
    x = 238,780,635,308.71/705,393
  6. Step 6: Final answer
    x = 338,507.24

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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.