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Finding the Fourth Proportional to 468,896.68, 703,869.90 and 311,432.68

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Solution

The fourth proportional to 468,896.68, 703,869.90 and 311,432.68 is: 467,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,896.68 : 703,869.90 = 311,432.68 : x
  2. Step 2: Convert to fraction form
    468,896.68/703,869.90 = 311,432.68/x
  3. Step 3: Cross multiply
    468,896.68x = 703,869.90 × 311,432.68
  4. Step 4: Simplify right side
    468,896.68x = 219,208,089,328.33
  5. Step 5: Solve for x
    x = 219,208,089,328.33/468,896.68
  6. Step 6: Final answer
    x = 467,497.64

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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.