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Finding the Fourth Proportional to 270,514.01, 405,759.49 and 70,829.98

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Solution

The fourth proportional to 270,514.01, 405,759.49 and 70,829.98 is: 106,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,514.01 : 405,759.49 = 70,829.98 : x
  2. Step 2: Convert to fraction form
    270,514.01/405,759.49 = 70,829.98/x
  3. Step 3: Cross multiply
    270,514.01x = 405,759.49 × 70,829.98
  4. Step 4: Simplify right side
    270,514.01x = 28,739,935,370.04
  5. Step 5: Solve for x
    x = 28,739,935,370.04/270,514.01
  6. Step 6: Final answer
    x = 106,241.95

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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.