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Finding the Fourth Proportional to 281,346.14, 422,019.90 and 70,984.08

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Solution

The fourth proportional to 281,346.14, 422,019.90 and 70,984.08 is: 106,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,346.14 : 422,019.90 = 70,984.08 : x
  2. Step 2: Convert to fraction form
    281,346.14/422,019.90 = 70,984.08/x
  3. Step 3: Cross multiply
    281,346.14x = 422,019.90 × 70,984.08
  4. Step 4: Simplify right side
    281,346.14x = 29,956,694,343.19
  5. Step 5: Solve for x
    x = 29,956,694,343.19/281,346.14
  6. Step 6: Final answer
    x = 106,476.30

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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.