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Finding the Fourth Proportional to 359,496.73, 496,285.26 and 223,574.47

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Solution

The fourth proportional to 359,496.73, 496,285.26 and 223,574.47 is: 308,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,496.73 : 496,285.26 = 223,574.47 : x
  2. Step 2: Convert to fraction form
    359,496.73/496,285.26 = 223,574.47/x
  3. Step 3: Cross multiply
    359,496.73x = 496,285.26 × 223,574.47
  4. Step 4: Simplify right side
    359,496.73x = 110,956,713,973.31
  5. Step 5: Solve for x
    x = 110,956,713,973.31/359,496.73
  6. Step 6: Final answer
    x = 308,644.57

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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.