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Finding the Fourth Proportional to 303,674.59, 419,122.21 and 176,424

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Solution

The fourth proportional to 303,674.59, 419,122.21 and 176,424 is: 243,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,674.59 : 419,122.21 = 176,424 : x
  2. Step 2: Convert to fraction form
    303,674.59/419,122.21 = 176,424/x
  3. Step 3: Cross multiply
    303,674.59x = 419,122.21 × 176,424
  4. Step 4: Simplify right side
    303,674.59x = 73,943,216,777.04
  5. Step 5: Solve for x
    x = 73,943,216,777.04/303,674.59
  6. Step 6: Final answer
    x = 243,494.91

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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.