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Finding the Fourth Proportional to 411,776.36, 617,533.32 and 131,228

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Solution

The fourth proportional to 411,776.36, 617,533.32 and 131,228 is: 196,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,776.36 : 617,533.32 = 131,228 : x
  2. Step 2: Convert to fraction form
    411,776.36/617,533.32 = 131,228/x
  3. Step 3: Cross multiply
    411,776.36x = 617,533.32 × 131,228
  4. Step 4: Simplify right side
    411,776.36x = 81,037,662,516.96
  5. Step 5: Solve for x
    x = 81,037,662,516.96/411,776.36
  6. Step 6: Final answer
    x = 196,800.18

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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.