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Finding the Fourth Proportional to 358,004.37, 493,923.06 and 221,989.38

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Solution

The fourth proportional to 358,004.37, 493,923.06 and 221,989.38 is: 306,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,004.37 : 493,923.06 = 221,989.38 : x
  2. Step 2: Convert to fraction form
    358,004.37/493,923.06 = 221,989.38/x
  3. Step 3: Cross multiply
    358,004.37x = 493,923.06 × 221,989.38
  4. Step 4: Simplify right side
    358,004.37x = 109,645,673,857.10
  5. Step 5: Solve for x
    x = 109,645,673,857.10/358,004.37
  6. Step 6: Final answer
    x = 306,269.09

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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.