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Finding the Fourth Proportional to 442,984.70, 664,477.05 and 442,984.70

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Solution

The fourth proportional to 442,984.70, 664,477.05 and 442,984.70 is: 664,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,984.70 : 664,477.05 = 442,984.70 : x
  2. Step 2: Convert to fraction form
    442,984.70/664,477.05 = 442,984.70/x
  3. Step 3: Cross multiply
    442,984.70x = 664,477.05 × 442,984.70
  4. Step 4: Simplify right side
    442,984.70x = 294,353,166,651.14
  5. Step 5: Solve for x
    x = 294,353,166,651.14/442,984.70
  6. Step 6: Final answer
    x = 664,477.05

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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.