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Finding the Fourth Proportional to 355,431.69, 490,495.76 and 194,287.38

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Solution

The fourth proportional to 355,431.69, 490,495.76 and 194,287.38 is: 268,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,431.69 : 490,495.76 = 194,287.38 : x
  2. Step 2: Convert to fraction form
    355,431.69/490,495.76 = 194,287.38/x
  3. Step 3: Cross multiply
    355,431.69x = 490,495.76 × 194,287.38
  4. Step 4: Simplify right side
    355,431.69x = 95,297,136,111.51
  5. Step 5: Solve for x
    x = 95,297,136,111.51/355,431.69
  6. Step 6: Final answer
    x = 268,116.60

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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.