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Finding the Fourth Proportional to 397,371.80, 596,713.80 and 264,839.60

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Solution

The fourth proportional to 397,371.80, 596,713.80 and 264,839.60 is: 397,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,371.80 : 596,713.80 = 264,839.60 : x
  2. Step 2: Convert to fraction form
    397,371.80/596,713.80 = 264,839.60/x
  3. Step 3: Cross multiply
    397,371.80x = 596,713.80 × 264,839.60
  4. Step 4: Simplify right side
    397,371.80x = 158,033,444,106.48
  5. Step 5: Solve for x
    x = 158,033,444,106.48/397,371.80
  6. Step 6: Final answer
    x = 397,696.68

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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.