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Finding the Fourth Proportional to 411,425.80, 617,138.70 and 298,576.60

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Solution

The fourth proportional to 411,425.80, 617,138.70 and 298,576.60 is: 447,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,425.80 : 617,138.70 = 298,576.60 : x
  2. Step 2: Convert to fraction form
    411,425.80/617,138.70 = 298,576.60/x
  3. Step 3: Cross multiply
    411,425.80x = 617,138.70 × 298,576.60
  4. Step 4: Simplify right side
    411,425.80x = 184,263,174,774.42
  5. Step 5: Solve for x
    x = 184,263,174,774.42/411,425.80
  6. Step 6: Final answer
    x = 447,864.90

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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.