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Finding the Fourth Proportional to 383,008.14, 573,974.42 and 302,693.00

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Solution

The fourth proportional to 383,008.14, 573,974.42 and 302,693.00 is: 453,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,008.14 : 573,974.42 = 302,693.00 : x
  2. Step 2: Convert to fraction form
    383,008.14/573,974.42 = 302,693.00/x
  3. Step 3: Cross multiply
    383,008.14x = 573,974.42 × 302,693.00
  4. Step 4: Simplify right side
    383,008.14x = 173,738,034,729.72
  5. Step 5: Solve for x
    x = 173,738,034,729.72/383,008.14
  6. Step 6: Final answer
    x = 453,614.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.