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Finding the Fourth Proportional to 411,945, 568,492.74 and 233,097

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Solution

The fourth proportional to 411,945, 568,492.74 and 233,097 is: 321,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,945 : 568,492.74 = 233,097 : x
  2. Step 2: Convert to fraction form
    411,945/568,492.74 = 233,097/x
  3. Step 3: Cross multiply
    411,945x = 568,492.74 × 233,097
  4. Step 4: Simplify right side
    411,945x = 132,513,952,215.78
  5. Step 5: Solve for x
    x = 132,513,952,215.78/411,945
  6. Step 6: Final answer
    x = 321,678.75

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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.