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Finding the Fourth Proportional to 443,715.84, 665,093.76 and 177,183.36

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Solution

The fourth proportional to 443,715.84, 665,093.76 and 177,183.36 is: 265,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,715.84 : 665,093.76 = 177,183.36 : x
  2. Step 2: Convert to fraction form
    443,715.84/665,093.76 = 177,183.36/x
  3. Step 3: Cross multiply
    443,715.84x = 665,093.76 × 177,183.36
  4. Step 4: Simplify right side
    443,715.84x = 117,843,547,111.83
  5. Step 5: Solve for x
    x = 117,843,547,111.83/443,715.84
  6. Step 6: Final answer
    x = 265,583.37

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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.