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Finding the Fourth Proportional to 345,806.24, 477,225.96 and 194,900

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Solution

The fourth proportional to 345,806.24, 477,225.96 and 194,900 is: 268,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,806.24 : 477,225.96 = 194,900 : x
  2. Step 2: Convert to fraction form
    345,806.24/477,225.96 = 194,900/x
  3. Step 3: Cross multiply
    345,806.24x = 477,225.96 × 194,900
  4. Step 4: Simplify right side
    345,806.24x = 93,011,339,604
  5. Step 5: Solve for x
    x = 93,011,339,604/345,806.24
  6. Step 6: Final answer
    x = 268,969.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.