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Finding the Fourth Proportional to 276,524.64, 414,922.50 and 99,045.36

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Solution

The fourth proportional to 276,524.64, 414,922.50 and 99,045.36 is: 148,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,524.64 : 414,922.50 = 99,045.36 : x
  2. Step 2: Convert to fraction form
    276,524.64/414,922.50 = 99,045.36/x
  3. Step 3: Cross multiply
    276,524.64x = 414,922.50 × 99,045.36
  4. Step 4: Simplify right side
    276,524.64x = 41,096,148,384.60
  5. Step 5: Solve for x
    x = 41,096,148,384.60/276,524.64
  6. Step 6: Final answer
    x = 148,616.59

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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.