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Finding the Fourth Proportional to 273,940.56, 411,041.16 and 189,830.16

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Solution

The fourth proportional to 273,940.56, 411,041.16 and 189,830.16 is: 284,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,940.56 : 411,041.16 = 189,830.16 : x
  2. Step 2: Convert to fraction form
    273,940.56/411,041.16 = 189,830.16/x
  3. Step 3: Cross multiply
    273,940.56x = 411,041.16 × 189,830.16
  4. Step 4: Simplify right side
    273,940.56x = 78,028,009,169.39
  5. Step 5: Solve for x
    x = 78,028,009,169.39/273,940.56
  6. Step 6: Final answer
    x = 284,835.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.