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Finding the Fourth Proportional to 301,464.84, 451,606.07 and 174,839.07

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Solution

The fourth proportional to 301,464.84, 451,606.07 and 174,839.07 is: 261,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,464.84 : 451,606.07 = 174,839.07 : x
  2. Step 2: Convert to fraction form
    301,464.84/451,606.07 = 174,839.07/x
  3. Step 3: Cross multiply
    301,464.84x = 451,606.07 × 174,839.07
  4. Step 4: Simplify right side
    301,464.84x = 78,958,387,169.91
  5. Step 5: Solve for x
    x = 78,958,387,169.91/301,464.84
  6. Step 6: Final answer
    x = 261,915.74

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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.