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Finding the Fourth Proportional to 401,407.78, 553,942.38 and 220,122.58

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Solution

The fourth proportional to 401,407.78, 553,942.38 and 220,122.58 is: 303,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,407.78 : 553,942.38 = 220,122.58 : x
  2. Step 2: Convert to fraction form
    401,407.78/553,942.38 = 220,122.58/x
  3. Step 3: Cross multiply
    401,407.78x = 553,942.38 × 220,122.58
  4. Step 4: Simplify right side
    401,407.78x = 121,935,225,856.94
  5. Step 5: Solve for x
    x = 121,935,225,856.94/401,407.78
  6. Step 6: Final answer
    x = 303,768.96

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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.