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Finding the Fourth Proportional to 684,676.80, 1,024,682.40 and 684,676.80

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Solution

The fourth proportional to 684,676.80, 1,024,682.40 and 684,676.80 is: 1,024,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,676.80 : 1,024,682.40 = 684,676.80 : x
  2. Step 2: Convert to fraction form
    684,676.80/1,024,682.40 = 684,676.80/x
  3. Step 3: Cross multiply
    684,676.80x = 1,024,682.40 × 684,676.80
  4. Step 4: Simplify right side
    684,676.80x = 701,576,266,648.32
  5. Step 5: Solve for x
    x = 701,576,266,648.32/684,676.80
  6. Step 6: Final answer
    x = 1,024,682.40

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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.