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Finding the Fourth Proportional to 468,607.68, 702,912.96 and 219,464.64

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Solution

The fourth proportional to 468,607.68, 702,912.96 and 219,464.64 is: 329,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,607.68 : 702,912.96 = 219,464.64 : x
  2. Step 2: Convert to fraction form
    468,607.68/702,912.96 = 219,464.64/x
  3. Step 3: Cross multiply
    468,607.68x = 702,912.96 × 219,464.64
  4. Step 4: Simplify right side
    468,607.68x = 154,264,539,717.73
  5. Step 5: Solve for x
    x = 154,264,539,717.73/468,607.68
  6. Step 6: Final answer
    x = 329,197.63

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Why These Related Problems?

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