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Finding the Fourth Proportional to 462,804.40, 694,271.40 and 196,562.80

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Solution

The fourth proportional to 462,804.40, 694,271.40 and 196,562.80 is: 294,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,804.40 : 694,271.40 = 196,562.80 : x
  2. Step 2: Convert to fraction form
    462,804.40/694,271.40 = 196,562.80/x
  3. Step 3: Cross multiply
    462,804.40x = 694,271.40 × 196,562.80
  4. Step 4: Simplify right side
    462,804.40x = 136,467,930,343.92
  5. Step 5: Solve for x
    x = 136,467,930,343.92/462,804.40
  6. Step 6: Final answer
    x = 294,871.72

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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.