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Finding the Fourth Proportional to 218,304, 327,559.68 and 70,560

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Solution

The fourth proportional to 218,304, 327,559.68 and 70,560 is: 105,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,304 : 327,559.68 = 70,560 : x
  2. Step 2: Convert to fraction form
    218,304/327,559.68 = 70,560/x
  3. Step 3: Cross multiply
    218,304x = 327,559.68 × 70,560
  4. Step 4: Simplify right side
    218,304x = 23,112,611,020.80
  5. Step 5: Solve for x
    x = 23,112,611,020.80/218,304
  6. Step 6: Final answer
    x = 105,873.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.