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Finding the Fourth Proportional to 273,768.30, 410,647.59 and 140,570.28

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Solution

The fourth proportional to 273,768.30, 410,647.59 and 140,570.28 is: 210,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,768.30 : 410,647.59 = 140,570.28 : x
  2. Step 2: Convert to fraction form
    273,768.30/410,647.59 = 140,570.28/x
  3. Step 3: Cross multiply
    273,768.30x = 410,647.59 × 140,570.28
  4. Step 4: Simplify right side
    273,768.30x = 57,724,846,707.63
  5. Step 5: Solve for x
    x = 57,724,846,707.63/273,768.30
  6. Step 6: Final answer
    x = 210,852.92

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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.