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Finding the Fourth Proportional to 270,697.91, 406,782.94 and 144,427.37

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Solution

The fourth proportional to 270,697.91, 406,782.94 and 144,427.37 is: 217,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,697.91 : 406,782.94 = 144,427.37 : x
  2. Step 2: Convert to fraction form
    270,697.91/406,782.94 = 144,427.37/x
  3. Step 3: Cross multiply
    270,697.91x = 406,782.94 × 144,427.37
  4. Step 4: Simplify right side
    270,697.91x = 58,750,587,429.02
  5. Step 5: Solve for x
    x = 58,750,587,429.02/270,697.91
  6. Step 6: Final answer
    x = 217,033.77

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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.