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Finding the Fourth Proportional to 464,019, 696,028.50 and 113,811

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Solution

The fourth proportional to 464,019, 696,028.50 and 113,811 is: 170,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,019 : 696,028.50 = 113,811 : x
  2. Step 2: Convert to fraction form
    464,019/696,028.50 = 113,811/x
  3. Step 3: Cross multiply
    464,019x = 696,028.50 × 113,811
  4. Step 4: Simplify right side
    464,019x = 79,215,699,613.50
  5. Step 5: Solve for x
    x = 79,215,699,613.50/464,019
  6. Step 6: Final answer
    x = 170,716.50

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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.