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Finding the Fourth Proportional to 359,506.84, 496,299.19 and 223,584.56

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Solution

The fourth proportional to 359,506.84, 496,299.19 and 223,584.56 is: 308,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,506.84 : 496,299.19 = 223,584.56 : x
  2. Step 2: Convert to fraction form
    359,506.84/496,299.19 = 223,584.56/x
  3. Step 3: Cross multiply
    359,506.84x = 496,299.19 × 223,584.56
  4. Step 4: Simplify right side
    359,506.84x = 110,964,836,024.51
  5. Step 5: Solve for x
    x = 110,964,836,024.51/359,506.84
  6. Step 6: Final answer
    x = 308,658.48

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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.