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Finding the Fourth Proportional to 301,423.84, 415,965.50 and 178,940.79

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Solution

The fourth proportional to 301,423.84, 415,965.50 and 178,940.79 is: 246,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,423.84 : 415,965.50 = 178,940.79 : x
  2. Step 2: Convert to fraction form
    301,423.84/415,965.50 = 178,940.79/x
  3. Step 3: Cross multiply
    301,423.84x = 415,965.50 × 178,940.79
  4. Step 4: Simplify right side
    301,423.84x = 74,433,195,182.75
  5. Step 5: Solve for x
    x = 74,433,195,182.75/301,423.84
  6. Step 6: Final answer
    x = 246,938.65

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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.