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Finding the Fourth Proportional to 271,650.40, 407,475.60 and 201,666.40

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Solution

The fourth proportional to 271,650.40, 407,475.60 and 201,666.40 is: 302,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,650.40 : 407,475.60 = 201,666.40 : x
  2. Step 2: Convert to fraction form
    271,650.40/407,475.60 = 201,666.40/x
  3. Step 3: Cross multiply
    271,650.40x = 407,475.60 × 201,666.40
  4. Step 4: Simplify right side
    271,650.40x = 82,174,137,339.84
  5. Step 5: Solve for x
    x = 82,174,137,339.84/271,650.40
  6. Step 6: Final answer
    x = 302,499.60

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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.