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Finding the Fourth Proportional to 553,623.21, 764,000.03 and 298,974.38

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Solution

The fourth proportional to 553,623.21, 764,000.03 and 298,974.38 is: 412,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,623.21 : 764,000.03 = 298,974.38 : x
  2. Step 2: Convert to fraction form
    553,623.21/764,000.03 = 298,974.38/x
  3. Step 3: Cross multiply
    553,623.21x = 764,000.03 × 298,974.38
  4. Step 4: Simplify right side
    553,623.21x = 228,416,435,289.23
  5. Step 5: Solve for x
    x = 228,416,435,289.23/553,623.21
  6. Step 6: Final answer
    x = 412,584.64

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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.