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Finding the Fourth Proportional to 358,013.36, 494,133.90 and 227,106.56

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Solution

The fourth proportional to 358,013.36, 494,133.90 and 227,106.56 is: 313,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,013.36 : 494,133.90 = 227,106.56 : x
  2. Step 2: Convert to fraction form
    358,013.36/494,133.90 = 227,106.56/x
  3. Step 3: Cross multiply
    358,013.36x = 494,133.90 × 227,106.56
  4. Step 4: Simplify right side
    358,013.36x = 112,221,050,208.38
  5. Step 5: Solve for x
    x = 112,221,050,208.38/358,013.36
  6. Step 6: Final answer
    x = 313,454.92

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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.