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Finding the Fourth Proportional to 460,137.20, 690,205.80 and 433,893.20

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Solution

The fourth proportional to 460,137.20, 690,205.80 and 433,893.20 is: 650,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,137.20 : 690,205.80 = 433,893.20 : x
  2. Step 2: Convert to fraction form
    460,137.20/690,205.80 = 433,893.20/x
  3. Step 3: Cross multiply
    460,137.20x = 690,205.80 × 433,893.20
  4. Step 4: Simplify right side
    460,137.20x = 299,475,603,220.56
  5. Step 5: Solve for x
    x = 299,475,603,220.56/460,137.20
  6. Step 6: Final answer
    x = 650,839.80

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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.