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Finding the Fourth Proportional to 684,460.68, 1,026,866 and 284,968.68

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Solution

The fourth proportional to 684,460.68, 1,026,866 and 284,968.68 is: 427,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,460.68 : 1,026,866 = 284,968.68 : x
  2. Step 2: Convert to fraction form
    684,460.68/1,026,866 = 284,968.68/x
  3. Step 3: Cross multiply
    684,460.68x = 1,026,866 × 284,968.68
  4. Step 4: Simplify right side
    684,460.68x = 292,624,648,556.88
  5. Step 5: Solve for x
    x = 292,624,648,556.88/684,460.68
  6. Step 6: Final answer
    x = 427,525.87

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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.