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Finding the Fourth Proportional to 303,376.88, 418,657.24 and 167,412

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Solution

The fourth proportional to 303,376.88, 418,657.24 and 167,412 is: 231,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,376.88 : 418,657.24 = 167,412 : x
  2. Step 2: Convert to fraction form
    303,376.88/418,657.24 = 167,412/x
  3. Step 3: Cross multiply
    303,376.88x = 418,657.24 × 167,412
  4. Step 4: Simplify right side
    303,376.88x = 70,088,245,862.88
  5. Step 5: Solve for x
    x = 70,088,245,862.88/303,376.88
  6. Step 6: Final answer
    x = 231,026.98

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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.