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Finding the Fourth Proportional to 303,284.94, 418,534.61 and 167,320.50

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Solution

The fourth proportional to 303,284.94, 418,534.61 and 167,320.50 is: 230,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,284.94 : 418,534.61 = 167,320.50 : x
  2. Step 2: Convert to fraction form
    303,284.94/418,534.61 = 167,320.50/x
  3. Step 3: Cross multiply
    303,284.94x = 418,534.61 × 167,320.50
  4. Step 4: Simplify right side
    303,284.94x = 70,029,419,375.90
  5. Step 5: Solve for x
    x = 70,029,419,375.90/303,284.94
  6. Step 6: Final answer
    x = 230,903.06

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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.