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Finding the Fourth Proportional to 358,816.77, 494,976.96 and 213,519.24

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Solution

The fourth proportional to 358,816.77, 494,976.96 and 213,519.24 is: 294,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,816.77 : 494,976.96 = 213,519.24 : x
  2. Step 2: Convert to fraction form
    358,816.77/494,976.96 = 213,519.24/x
  3. Step 3: Cross multiply
    358,816.77x = 494,976.96 × 213,519.24
  4. Step 4: Simplify right side
    358,816.77x = 105,687,104,316.71
  5. Step 5: Solve for x
    x = 105,687,104,316.71/358,816.77
  6. Step 6: Final answer
    x = 294,543.38

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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.