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Finding the Fourth Proportional to 511,801.93, 767,801.30 and 196,234.23

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Solution

The fourth proportional to 511,801.93, 767,801.30 and 196,234.23 is: 294,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,801.93 : 767,801.30 = 196,234.23 : x
  2. Step 2: Convert to fraction form
    511,801.93/767,801.30 = 196,234.23/x
  3. Step 3: Cross multiply
    511,801.93x = 767,801.30 × 196,234.23
  4. Step 4: Simplify right side
    511,801.93x = 150,668,896,898.50
  5. Step 5: Solve for x
    x = 150,668,896,898.50/511,801.93
  6. Step 6: Final answer
    x = 294,389.08

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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.