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Finding the Fourth Proportional to 301,709.75, 452,568.60 and 77,072.04

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Solution

The fourth proportional to 301,709.75, 452,568.60 and 77,072.04 is: 115,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,709.75 : 452,568.60 = 77,072.04 : x
  2. Step 2: Convert to fraction form
    301,709.75/452,568.60 = 77,072.04/x
  3. Step 3: Cross multiply
    301,709.75x = 452,568.60 × 77,072.04
  4. Step 4: Simplify right side
    301,709.75x = 34,880,385,241.94
  5. Step 5: Solve for x
    x = 34,880,385,241.94/301,709.75
  6. Step 6: Final answer
    x = 115,609.08

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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.