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Finding the Fourth Proportional to 304,057.92, 419,636.43 and 176,733.54

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Solution

The fourth proportional to 304,057.92, 419,636.43 and 176,733.54 is: 243,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,057.92 : 419,636.43 = 176,733.54 : x
  2. Step 2: Convert to fraction form
    304,057.92/419,636.43 = 176,733.54/x
  3. Step 3: Cross multiply
    304,057.92x = 419,636.43 × 176,733.54
  4. Step 4: Simplify right side
    304,057.92x = 74,163,831,786.86
  5. Step 5: Solve for x
    x = 74,163,831,786.86/304,057.92
  6. Step 6: Final answer
    x = 243,913.50

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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.