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Finding the Fourth Proportional to 511,801.19, 767,800.20 and 196,233.50

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Solution

The fourth proportional to 511,801.19, 767,800.20 and 196,233.50 is: 294,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,801.19 : 767,800.20 = 196,233.50 : x
  2. Step 2: Convert to fraction form
    511,801.19/767,800.20 = 196,233.50/x
  3. Step 3: Cross multiply
    511,801.19x = 767,800.20 × 196,233.50
  4. Step 4: Simplify right side
    511,801.19x = 150,668,116,707.70
  5. Step 5: Solve for x
    x = 150,668,116,707.70/511,801.19
  6. Step 6: Final answer
    x = 294,387.98

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1.5x scale

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.