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Finding the Fourth Proportional to 406,749.91, 609,694.68 and 150,417.76

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Solution

The fourth proportional to 406,749.91, 609,694.68 and 150,417.76 is: 225,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,749.91 : 609,694.68 = 150,417.76 : x
  2. Step 2: Convert to fraction form
    406,749.91/609,694.68 = 150,417.76/x
  3. Step 3: Cross multiply
    406,749.91x = 609,694.68 × 150,417.76
  4. Step 4: Simplify right side
    406,749.91x = 91,708,909,375.70
  5. Step 5: Solve for x
    x = 91,708,909,375.70/406,749.91
  6. Step 6: Final answer
    x = 225,467.56

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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.