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Finding the Fourth Proportional to 401,162.96, 553,610.94 and 219,873.44

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Solution

The fourth proportional to 401,162.96, 553,610.94 and 219,873.44 is: 303,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,162.96 : 553,610.94 = 219,873.44 : x
  2. Step 2: Convert to fraction form
    401,162.96/553,610.94 = 219,873.44/x
  3. Step 3: Cross multiply
    401,162.96x = 553,610.94 × 219,873.44
  4. Step 4: Simplify right side
    401,162.96x = 121,724,341,799.43
  5. Step 5: Solve for x
    x = 121,724,341,799.43/401,162.96
  6. Step 6: Final answer
    x = 303,428.67

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Why These Related Problems?

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