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Finding the Fourth Proportional to 468,099.66, 645,994.02 and 264,138.62

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Solution

The fourth proportional to 468,099.66, 645,994.02 and 264,138.62 is: 364,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,099.66 : 645,994.02 = 264,138.62 : x
  2. Step 2: Convert to fraction form
    468,099.66/645,994.02 = 264,138.62/x
  3. Step 3: Cross multiply
    468,099.66x = 645,994.02 × 264,138.62
  4. Step 4: Simplify right side
    468,099.66x = 170,631,968,971.05
  5. Step 5: Solve for x
    x = 170,631,968,971.05/468,099.66
  6. Step 6: Final answer
    x = 364,520.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.