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Finding the Fourth Proportional to 411,044, 616,566 and 115,556

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Solution

The fourth proportional to 411,044, 616,566 and 115,556 is: 173,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,044 : 616,566 = 115,556 : x
  2. Step 2: Convert to fraction form
    411,044/616,566 = 115,556/x
  3. Step 3: Cross multiply
    411,044x = 616,566 × 115,556
  4. Step 4: Simplify right side
    411,044x = 71,247,900,696
  5. Step 5: Solve for x
    x = 71,247,900,696/411,044
  6. Step 6: Final answer
    x = 173,334

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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.