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Finding the Fourth Proportional to 397,995.84, 597,201.12 and 176,328

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Solution

The fourth proportional to 397,995.84, 597,201.12 and 176,328 is: 264,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,995.84 : 597,201.12 = 176,328 : x
  2. Step 2: Convert to fraction form
    397,995.84/597,201.12 = 176,328/x
  3. Step 3: Cross multiply
    397,995.84x = 597,201.12 × 176,328
  4. Step 4: Simplify right side
    397,995.84x = 105,303,279,087.36
  5. Step 5: Solve for x
    x = 105,303,279,087.36/397,995.84
  6. Step 6: Final answer
    x = 264,583.87

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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.