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Finding the Fourth Proportional to 443,669.40, 665,504.10 and 159,359.40

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Solution

The fourth proportional to 443,669.40, 665,504.10 and 159,359.40 is: 239,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,669.40 : 665,504.10 = 159,359.40 : x
  2. Step 2: Convert to fraction form
    443,669.40/665,504.10 = 159,359.40/x
  3. Step 3: Cross multiply
    443,669.40x = 665,504.10 × 159,359.40
  4. Step 4: Simplify right side
    443,669.40x = 106,054,334,073.54
  5. Step 5: Solve for x
    x = 106,054,334,073.54/443,669.40
  6. Step 6: Final answer
    x = 239,039.10

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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.