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Finding the Fourth Proportional to 651,509.36, 976,183.16 and 461,025.30

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Solution

The fourth proportional to 651,509.36, 976,183.16 and 461,025.30 is: 690,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,509.36 : 976,183.16 = 461,025.30 : x
  2. Step 2: Convert to fraction form
    651,509.36/976,183.16 = 461,025.30/x
  3. Step 3: Cross multiply
    651,509.36x = 976,183.16 × 461,025.30
  4. Step 4: Simplify right side
    651,509.36x = 450,045,134,193.95
  5. Step 5: Solve for x
    x = 450,045,134,193.95/651,509.36
  6. Step 6: Final answer
    x = 690,773.09

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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.