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Finding the Fourth Proportional to 947,892.84, 1,421,841.96 and 274,029

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Solution

The fourth proportional to 947,892.84, 1,421,841.96 and 274,029 is: 411,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,892.84 : 1,421,841.96 = 274,029 : x
  2. Step 2: Convert to fraction form
    947,892.84/1,421,841.96 = 274,029/x
  3. Step 3: Cross multiply
    947,892.84x = 1,421,841.96 × 274,029
  4. Step 4: Simplify right side
    947,892.84x = 389,625,930,456.84
  5. Step 5: Solve for x
    x = 389,625,930,456.84/947,892.84
  6. Step 6: Final answer
    x = 411,044.28

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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.