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Finding the Fourth Proportional to 443,470.41, 665,222.76 and 155,226.24

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Solution

The fourth proportional to 443,470.41, 665,222.76 and 155,226.24 is: 232,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,470.41 : 665,222.76 = 155,226.24 : x
  2. Step 2: Convert to fraction form
    443,470.41/665,222.76 = 155,226.24/x
  3. Step 3: Cross multiply
    443,470.41x = 665,222.76 × 155,226.24
  4. Step 4: Simplify right side
    443,470.41x = 103,260,027,797.22
  5. Step 5: Solve for x
    x = 103,260,027,797.22/443,470.41
  6. Step 6: Final answer
    x = 232,845.36

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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.