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Finding the Fourth Proportional to 274,817.28, 411,633.44 and 185,580.08

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Solution

The fourth proportional to 274,817.28, 411,633.44 and 185,580.08 is: 277,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,817.28 : 411,633.44 = 185,580.08 : x
  2. Step 2: Convert to fraction form
    274,817.28/411,633.44 = 185,580.08/x
  3. Step 3: Cross multiply
    274,817.28x = 411,633.44 × 185,580.08
  4. Step 4: Simplify right side
    274,817.28x = 76,390,966,725.88
  5. Step 5: Solve for x
    x = 76,390,966,725.88/274,817.28
  6. Step 6: Final answer
    x = 277,970.03

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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.