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Finding the Fourth Proportional to 359,502.14, 496,024.49 and 219,765.47

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Solution

The fourth proportional to 359,502.14, 496,024.49 and 219,765.47 is: 303,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,502.14 : 496,024.49 = 219,765.47 : x
  2. Step 2: Convert to fraction form
    359,502.14/496,024.49 = 219,765.47/x
  3. Step 3: Cross multiply
    359,502.14x = 496,024.49 × 219,765.47
  4. Step 4: Simplify right side
    359,502.14x = 109,009,053,245.65
  5. Step 5: Solve for x
    x = 109,009,053,245.65/359,502.14
  6. Step 6: Final answer
    x = 303,222.26

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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.