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Finding the Fourth Proportional to 270,701.40, 406,077.70 and 73,709.40

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Solution

The fourth proportional to 270,701.40, 406,077.70 and 73,709.40 is: 110,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,701.40 : 406,077.70 = 73,709.40 : x
  2. Step 2: Convert to fraction form
    270,701.40/406,077.70 = 73,709.40/x
  3. Step 3: Cross multiply
    270,701.40x = 406,077.70 × 73,709.40
  4. Step 4: Simplify right side
    270,701.40x = 29,931,743,620.38
  5. Step 5: Solve for x
    x = 29,931,743,620.38/270,701.40
  6. Step 6: Final answer
    x = 110,571.07

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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.