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Finding the Fourth Proportional to 297,823.60, 446,735.40 and 129,424.60

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Solution

The fourth proportional to 297,823.60, 446,735.40 and 129,424.60 is: 194,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,823.60 : 446,735.40 = 129,424.60 : x
  2. Step 2: Convert to fraction form
    297,823.60/446,735.40 = 129,424.60/x
  3. Step 3: Cross multiply
    297,823.60x = 446,735.40 × 129,424.60
  4. Step 4: Simplify right side
    297,823.60x = 57,818,550,450.84
  5. Step 5: Solve for x
    x = 57,818,550,450.84/297,823.60
  6. Step 6: Final answer
    x = 194,136.90

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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.