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Finding the Fourth Proportional to 705,692.16, 1,058,713.92 and 207,057.60

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Solution

The fourth proportional to 705,692.16, 1,058,713.92 and 207,057.60 is: 310,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,692.16 : 1,058,713.92 = 207,057.60 : x
  2. Step 2: Convert to fraction form
    705,692.16/1,058,713.92 = 207,057.60/x
  3. Step 3: Cross multiply
    705,692.16x = 1,058,713.92 × 207,057.60
  4. Step 4: Simplify right side
    705,692.16x = 219,214,763,361.79
  5. Step 5: Solve for x
    x = 219,214,763,361.79/705,692.16
  6. Step 6: Final answer
    x = 310,637.95

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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.