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Finding the Fourth Proportional to 682,392.90, 1,022,034.15 and 402,456.90

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Solution

The fourth proportional to 682,392.90, 1,022,034.15 and 402,456.90 is: 602,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,392.90 : 1,022,034.15 = 402,456.90 : x
  2. Step 2: Convert to fraction form
    682,392.90/1,022,034.15 = 402,456.90/x
  3. Step 3: Cross multiply
    682,392.90x = 1,022,034.15 × 402,456.90
  4. Step 4: Simplify right side
    682,392.90x = 411,324,695,703.14
  5. Step 5: Solve for x
    x = 411,324,695,703.14/682,392.90
  6. Step 6: Final answer
    x = 602,768.14

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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.