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Finding the Fourth Proportional to 291,738.40, 437,607.60 and 192,032.80

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Solution

The fourth proportional to 291,738.40, 437,607.60 and 192,032.80 is: 288,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,738.40 : 437,607.60 = 192,032.80 : x
  2. Step 2: Convert to fraction form
    291,738.40/437,607.60 = 192,032.80/x
  3. Step 3: Cross multiply
    291,738.40x = 437,607.60 × 192,032.80
  4. Step 4: Simplify right side
    291,738.40x = 84,035,012,729.28
  5. Step 5: Solve for x
    x = 84,035,012,729.28/291,738.40
  6. Step 6: Final answer
    x = 288,049.20

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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.