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Finding the Fourth Proportional to 357,655.91, 493,359.86 and 223,286.63

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Solution

The fourth proportional to 357,655.91, 493,359.86 and 223,286.63 is: 308,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,655.91 : 493,359.86 = 223,286.63 : x
  2. Step 2: Convert to fraction form
    357,655.91/493,359.86 = 223,286.63/x
  3. Step 3: Cross multiply
    357,655.91x = 493,359.86 × 223,286.63
  4. Step 4: Simplify right side
    357,655.91x = 110,160,658,608.09
  5. Step 5: Solve for x
    x = 110,160,658,608.09/357,655.91
  6. Step 6: Final answer
    x = 308,007.38

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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.