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Finding the Fourth Proportional to 409,532.40, 612,986.40 and 320,302.80

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Solution

The fourth proportional to 409,532.40, 612,986.40 and 320,302.80 is: 479,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,532.40 : 612,986.40 = 320,302.80 : x
  2. Step 2: Convert to fraction form
    409,532.40/612,986.40 = 320,302.80/x
  3. Step 3: Cross multiply
    409,532.40x = 612,986.40 × 320,302.80
  4. Step 4: Simplify right side
    409,532.40x = 196,341,260,281.92
  5. Step 5: Solve for x
    x = 196,341,260,281.92/409,532.40
  6. Step 6: Final answer
    x = 479,427.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.