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Finding the Fourth Proportional to 303,287.76, 418,620.24 and 176,004

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Solution

The fourth proportional to 303,287.76, 418,620.24 and 176,004 is: 242,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,287.76 : 418,620.24 = 176,004 : x
  2. Step 2: Convert to fraction form
    303,287.76/418,620.24 = 176,004/x
  3. Step 3: Cross multiply
    303,287.76x = 418,620.24 × 176,004
  4. Step 4: Simplify right side
    303,287.76x = 73,678,836,720.96
  5. Step 5: Solve for x
    x = 73,678,836,720.96/303,287.76
  6. Step 6: Final answer
    x = 242,933.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.