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Finding the Fourth Proportional to 723,742.32, 998,745.14 and 417,808.37

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Solution

The fourth proportional to 723,742.32, 998,745.14 and 417,808.37 is: 576,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,742.32 : 998,745.14 = 417,808.37 : x
  2. Step 2: Convert to fraction form
    723,742.32/998,745.14 = 417,808.37/x
  3. Step 3: Cross multiply
    723,742.32x = 998,745.14 × 417,808.37
  4. Step 4: Simplify right side
    723,742.32x = 417,284,071,906.05
  5. Step 5: Solve for x
    x = 417,284,071,906.05/723,742.32
  6. Step 6: Final answer
    x = 576,564.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.