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Finding the Fourth Proportional to 652,764.43, 978,687.37 and 253,068.31

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Solution

The fourth proportional to 652,764.43, 978,687.37 and 253,068.31 is: 379,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,764.43 : 978,687.37 = 253,068.31 : x
  2. Step 2: Convert to fraction form
    652,764.43/978,687.37 = 253,068.31/x
  3. Step 3: Cross multiply
    652,764.43x = 978,687.37 × 253,068.31
  4. Step 4: Simplify right side
    652,764.43x = 247,674,758,744.25
  5. Step 5: Solve for x
    x = 247,674,758,744.25/652,764.43
  6. Step 6: Final answer
    x = 379,424.41

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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.