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Finding the Fourth Proportional to 304,668.26, 457,002.40 and 83,052.26

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Solution

The fourth proportional to 304,668.26, 457,002.40 and 83,052.26 is: 124,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,668.26 : 457,002.40 = 83,052.26 : x
  2. Step 2: Convert to fraction form
    304,668.26/457,002.40 = 83,052.26/x
  3. Step 3: Cross multiply
    304,668.26x = 457,002.40 × 83,052.26
  4. Step 4: Simplify right side
    304,668.26x = 37,955,082,145.42
  5. Step 5: Solve for x
    x = 37,955,082,145.42/304,668.26
  6. Step 6: Final answer
    x = 124,578.39

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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.