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Finding the Fourth Proportional to 442,909.40, 664,364.10 and 411,416.60

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Solution

The fourth proportional to 442,909.40, 664,364.10 and 411,416.60 is: 617,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,909.40 : 664,364.10 = 411,416.60 : x
  2. Step 2: Convert to fraction form
    442,909.40/664,364.10 = 411,416.60/x
  3. Step 3: Cross multiply
    442,909.40x = 664,364.10 × 411,416.60
  4. Step 4: Simplify right side
    442,909.40x = 273,330,419,184.06
  5. Step 5: Solve for x
    x = 273,330,419,184.06/442,909.40
  6. Step 6: Final answer
    x = 617,124.90

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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.