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Finding the Fourth Proportional to 705,693.01, 1,058,605.08 and 200,266.39

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Solution

The fourth proportional to 705,693.01, 1,058,605.08 and 200,266.39 is: 300,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,693.01 : 1,058,605.08 = 200,266.39 : x
  2. Step 2: Convert to fraction form
    705,693.01/1,058,605.08 = 200,266.39/x
  3. Step 3: Cross multiply
    705,693.01x = 1,058,605.08 × 200,266.39
  4. Step 4: Simplify right side
    705,693.01x = 212,003,017,807.26
  5. Step 5: Solve for x
    x = 212,003,017,807.26/705,693.01
  6. Step 6: Final answer
    x = 300,418.19

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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.