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Finding the Fourth Proportional to 301,466.84, 451,609.07 and 174,841.07

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Solution

The fourth proportional to 301,466.84, 451,609.07 and 174,841.07 is: 261,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,466.84 : 451,609.07 = 174,841.07 : x
  2. Step 2: Convert to fraction form
    301,466.84/451,609.07 = 174,841.07/x
  3. Step 3: Cross multiply
    301,466.84x = 451,609.07 × 174,841.07
  4. Step 4: Simplify right side
    301,466.84x = 78,959,813,020.50
  5. Step 5: Solve for x
    x = 78,959,813,020.50/301,466.84
  6. Step 6: Final answer
    x = 261,918.73

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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.