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Finding the Fourth Proportional to 508,198.49, 701,441.37 and 345,130.91

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Solution

The fourth proportional to 508,198.49, 701,441.37 and 345,130.91 is: 476,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,198.49 : 701,441.37 = 345,130.91 : x
  2. Step 2: Convert to fraction form
    508,198.49/701,441.37 = 345,130.91/x
  3. Step 3: Cross multiply
    508,198.49x = 701,441.37 × 345,130.91
  4. Step 4: Simplify right side
    508,198.49x = 242,089,097,462.95
  5. Step 5: Solve for x
    x = 242,089,097,462.95/508,198.49
  6. Step 6: Final answer
    x = 476,367.21

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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.