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Finding the Fourth Proportional to 303,786.64, 419,122.92 and 176,415.76

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Solution

The fourth proportional to 303,786.64, 419,122.92 and 176,415.76 is: 243,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,786.64 : 419,122.92 = 176,415.76 : x
  2. Step 2: Convert to fraction form
    303,786.64/419,122.92 = 176,415.76/x
  3. Step 3: Cross multiply
    303,786.64x = 419,122.92 × 176,415.76
  4. Step 4: Simplify right side
    303,786.64x = 73,939,888,465.22
  5. Step 5: Solve for x
    x = 73,939,888,465.22/303,786.64
  6. Step 6: Final answer
    x = 243,394.14

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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.