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Finding the Fourth Proportional to 706,046.80, 1,058,414.10 and 492,814.30

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Solution

The fourth proportional to 706,046.80, 1,058,414.10 and 492,814.30 is: 738,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,046.80 : 1,058,414.10 = 492,814.30 : x
  2. Step 2: Convert to fraction form
    706,046.80/1,058,414.10 = 492,814.30/x
  3. Step 3: Cross multiply
    706,046.80x = 1,058,414.10 × 492,814.30
  4. Step 4: Simplify right side
    706,046.80x = 521,601,603,801.63
  5. Step 5: Solve for x
    x = 521,601,603,801.63/706,046.80
  6. Step 6: Final answer
    x = 738,763.50

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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.