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Finding the Fourth Proportional to 496,229.40, 744,562.80 and 229,852.80

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Solution

The fourth proportional to 496,229.40, 744,562.80 and 229,852.80 is: 344,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,229.40 : 744,562.80 = 229,852.80 : x
  2. Step 2: Convert to fraction form
    496,229.40/744,562.80 = 229,852.80/x
  3. Step 3: Cross multiply
    496,229.40x = 744,562.80 × 229,852.80
  4. Step 4: Simplify right side
    496,229.40x = 171,139,844,355.84
  5. Step 5: Solve for x
    x = 171,139,844,355.84/496,229.40
  6. Step 6: Final answer
    x = 344,880.50

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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.