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Finding the Fourth Proportional to 470,839.48, 650,071.40 and 361,749.49

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Solution

The fourth proportional to 470,839.48, 650,071.40 and 361,749.49 is: 499,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,839.48 : 650,071.40 = 361,749.49 : x
  2. Step 2: Convert to fraction form
    470,839.48/650,071.40 = 361,749.49/x
  3. Step 3: Cross multiply
    470,839.48x = 650,071.40 × 361,749.49
  4. Step 4: Simplify right side
    470,839.48x = 235,162,998,653.73
  5. Step 5: Solve for x
    x = 235,162,998,653.73/470,839.48
  6. Step 6: Final answer
    x = 499,454.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.