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Finding the Fourth Proportional to 276,466.92, 414,849.36 and 116,653.60

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Solution

The fourth proportional to 276,466.92, 414,849.36 and 116,653.60 is: 175,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,466.92 : 414,849.36 = 116,653.60 : x
  2. Step 2: Convert to fraction form
    276,466.92/414,849.36 = 116,653.60/x
  3. Step 3: Cross multiply
    276,466.92x = 414,849.36 × 116,653.60
  4. Step 4: Simplify right side
    276,466.92x = 48,393,671,301.70
  5. Step 5: Solve for x
    x = 48,393,671,301.70/276,466.92
  6. Step 6: Final answer
    x = 175,043.26

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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.