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Finding the Fourth Proportional to 504,045.30, 756,201.60 and 219,613.80

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Solution

The fourth proportional to 504,045.30, 756,201.60 and 219,613.80 is: 329,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,045.30 : 756,201.60 = 219,613.80 : x
  2. Step 2: Convert to fraction form
    504,045.30/756,201.60 = 219,613.80/x
  3. Step 3: Cross multiply
    504,045.30x = 756,201.60 × 219,613.80
  4. Step 4: Simplify right side
    504,045.30x = 166,072,306,942.08
  5. Step 5: Solve for x
    x = 166,072,306,942.08/504,045.30
  6. Step 6: Final answer
    x = 329,478.93

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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.