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Finding the Fourth Proportional to 705,841.95, 1,058,760.42 and 200,403.01

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Solution

The fourth proportional to 705,841.95, 1,058,760.42 and 200,403.01 is: 300,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,841.95 : 1,058,760.42 = 200,403.01 : x
  2. Step 2: Convert to fraction form
    705,841.95/1,058,760.42 = 200,403.01/x
  3. Step 3: Cross multiply
    705,841.95x = 1,058,760.42 × 200,403.01
  4. Step 4: Simplify right side
    705,841.95x = 212,178,775,608.80
  5. Step 5: Solve for x
    x = 212,178,775,608.80/705,841.95
  6. Step 6: Final answer
    x = 300,603.81

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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.