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Finding the Fourth Proportional to 414,247.68, 571,629.60 and 232,925.76

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Solution

The fourth proportional to 414,247.68, 571,629.60 and 232,925.76 is: 321,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,247.68 : 571,629.60 = 232,925.76 : x
  2. Step 2: Convert to fraction form
    414,247.68/571,629.60 = 232,925.76/x
  3. Step 3: Cross multiply
    414,247.68x = 571,629.60 × 232,925.76
  4. Step 4: Simplify right side
    414,247.68x = 133,147,259,018.50
  5. Step 5: Solve for x
    x = 133,147,259,018.50/414,247.68
  6. Step 6: Final answer
    x = 321,419.44

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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.