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Finding the Fourth Proportional to 270,698.91, 406,784.44 and 144,428.36

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Solution

The fourth proportional to 270,698.91, 406,784.44 and 144,428.36 is: 217,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,698.91 : 406,784.44 = 144,428.36 : x
  2. Step 2: Convert to fraction form
    270,698.91/406,784.44 = 144,428.36/x
  3. Step 3: Cross multiply
    270,698.91x = 406,784.44 × 144,428.36
  4. Step 4: Simplify right side
    270,698.91x = 58,751,210,198.61
  5. Step 5: Solve for x
    x = 58,751,210,198.61/270,698.91
  6. Step 6: Final answer
    x = 217,035.27

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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.