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Finding the Fourth Proportional to 682,384.40, 1,022,021.40 and 402,448.40

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Solution

The fourth proportional to 682,384.40, 1,022,021.40 and 402,448.40 is: 602,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,384.40 : 1,022,021.40 = 402,448.40 : x
  2. Step 2: Convert to fraction form
    682,384.40/1,022,021.40 = 402,448.40/x
  3. Step 3: Cross multiply
    682,384.40x = 1,022,021.40 × 402,448.40
  4. Step 4: Simplify right side
    682,384.40x = 411,310,877,195.76
  5. Step 5: Solve for x
    x = 411,310,877,195.76/682,384.40
  6. Step 6: Final answer
    x = 602,755.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.