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Finding the Fourth Proportional to 276,819, 415,405.11 and 99,322.08

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Solution

The fourth proportional to 276,819, 415,405.11 and 99,322.08 is: 149,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,819 : 415,405.11 = 99,322.08 : x
  2. Step 2: Convert to fraction form
    276,819/415,405.11 = 99,322.08/x
  3. Step 3: Cross multiply
    276,819x = 415,405.11 × 99,322.08
  4. Step 4: Simplify right side
    276,819x = 41,258,899,567.83
  5. Step 5: Solve for x
    x = 41,258,899,567.83/276,819
  6. Step 6: Final answer
    x = 149,046.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.