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Finding the Fourth Proportional to 468,096.53, 645,989.76 and 264,135.56

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Solution

The fourth proportional to 468,096.53, 645,989.76 and 264,135.56 is: 364,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,096.53 : 645,989.76 = 264,135.56 : x
  2. Step 2: Convert to fraction form
    468,096.53/645,989.76 = 264,135.56/x
  3. Step 3: Cross multiply
    468,096.53x = 645,989.76 × 264,135.56
  4. Step 4: Simplify right side
    468,096.53x = 170,628,863,781.92
  5. Step 5: Solve for x
    x = 170,628,863,781.92/468,096.53
  6. Step 6: Final answer
    x = 364,516.41

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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.