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Finding the Fourth Proportional to 442,811.40, 664,217.10 and 293,220.60

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Solution

The fourth proportional to 442,811.40, 664,217.10 and 293,220.60 is: 439,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,811.40 : 664,217.10 = 293,220.60 : x
  2. Step 2: Convert to fraction form
    442,811.40/664,217.10 = 293,220.60/x
  3. Step 3: Cross multiply
    442,811.40x = 664,217.10 × 293,220.60
  4. Step 4: Simplify right side
    442,811.40x = 194,762,136,592.26
  5. Step 5: Solve for x
    x = 194,762,136,592.26/442,811.40
  6. Step 6: Final answer
    x = 439,830.90

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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.