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Finding the Fourth Proportional to 405,734.40, 608,601.60 and 125,215.20

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Solution

The fourth proportional to 405,734.40, 608,601.60 and 125,215.20 is: 187,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,734.40 : 608,601.60 = 125,215.20 : x
  2. Step 2: Convert to fraction form
    405,734.40/608,601.60 = 125,215.20/x
  3. Step 3: Cross multiply
    405,734.40x = 608,601.60 × 125,215.20
  4. Step 4: Simplify right side
    405,734.40x = 76,206,171,064.32
  5. Step 5: Solve for x
    x = 76,206,171,064.32/405,734.40
  6. Step 6: Final answer
    x = 187,822.80

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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.