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Finding the Fourth Proportional to 682,422.40, 1,022,078.40 and 402,486.40

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Solution

The fourth proportional to 682,422.40, 1,022,078.40 and 402,486.40 is: 602,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,422.40 : 1,022,078.40 = 402,486.40 : x
  2. Step 2: Convert to fraction form
    682,422.40/1,022,078.40 = 402,486.40/x
  3. Step 3: Cross multiply
    682,422.40x = 1,022,078.40 × 402,486.40
  4. Step 4: Simplify right side
    682,422.40x = 411,372,655,733.76
  5. Step 5: Solve for x
    x = 411,372,655,733.76/682,422.40
  6. Step 6: Final answer
    x = 602,812.36

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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.