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Finding the Fourth Proportional to 682,364.40, 1,021,991.40 and 402,428.40

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Solution

The fourth proportional to 682,364.40, 1,021,991.40 and 402,428.40 is: 602,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,364.40 : 1,021,991.40 = 402,428.40 : x
  2. Step 2: Convert to fraction form
    682,364.40/1,021,991.40 = 402,428.40/x
  3. Step 3: Cross multiply
    682,364.40x = 1,021,991.40 × 402,428.40
  4. Step 4: Simplify right side
    682,364.40x = 411,278,363,915.76
  5. Step 5: Solve for x
    x = 411,278,363,915.76/682,364.40
  6. Step 6: Final answer
    x = 602,725.41

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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.