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Finding the Fourth Proportional to 273,586.56, 410,509.80 and 189,476.16

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Solution

The fourth proportional to 273,586.56, 410,509.80 and 189,476.16 is: 284,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,586.56 : 410,509.80 = 189,476.16 : x
  2. Step 2: Convert to fraction form
    273,586.56/410,509.80 = 189,476.16/x
  3. Step 3: Cross multiply
    273,586.56x = 410,509.80 × 189,476.16
  4. Step 4: Simplify right side
    273,586.56x = 77,781,820,546.37
  5. Step 5: Solve for x
    x = 77,781,820,546.37/273,586.56
  6. Step 6: Final answer
    x = 284,304.25

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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.