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Finding the Fourth Proportional to 303,378.42, 418,644.48 and 167,412.06

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Solution

The fourth proportional to 303,378.42, 418,644.48 and 167,412.06 is: 231,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,378.42 : 418,644.48 = 167,412.06 : x
  2. Step 2: Convert to fraction form
    303,378.42/418,644.48 = 167,412.06/x
  3. Step 3: Cross multiply
    303,378.42x = 418,644.48 × 167,412.06
  4. Step 4: Simplify right side
    303,378.42x = 70,086,134,804.43
  5. Step 5: Solve for x
    x = 70,086,134,804.43/303,378.42
  6. Step 6: Final answer
    x = 231,018.85

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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.