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Finding the Fourth Proportional to 301,453.30, 415,990.24 and 178,950.90

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Solution

The fourth proportional to 301,453.30, 415,990.24 and 178,950.90 is: 246,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,453.30 : 415,990.24 = 178,950.90 : x
  2. Step 2: Convert to fraction form
    301,453.30/415,990.24 = 178,950.90/x
  3. Step 3: Cross multiply
    301,453.30x = 415,990.24 × 178,950.90
  4. Step 4: Simplify right side
    301,453.30x = 74,441,827,839.22
  5. Step 5: Solve for x
    x = 74,441,827,839.22/301,453.30
  6. Step 6: Final answer
    x = 246,943.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.