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Finding the Fourth Proportional to 276,324.24, 414,486.32 and 76,644.63

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Solution

The fourth proportional to 276,324.24, 414,486.32 and 76,644.63 is: 114,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,324.24 : 414,486.32 = 76,644.63 : x
  2. Step 2: Convert to fraction form
    276,324.24/414,486.32 = 76,644.63/x
  3. Step 3: Cross multiply
    276,324.24x = 414,486.32 × 76,644.63
  4. Step 4: Simplify right side
    276,324.24x = 31,768,150,636.46
  5. Step 5: Solve for x
    x = 31,768,150,636.46/276,324.24
  6. Step 6: Final answer
    x = 114,966.93

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1.5x scale

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.