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Finding the Fourth Proportional to 446,253.14, 615,309 and 332,879.06

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Solution

The fourth proportional to 446,253.14, 615,309 and 332,879.06 is: 458,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,253.14 : 615,309 = 332,879.06 : x
  2. Step 2: Convert to fraction form
    446,253.14/615,309 = 332,879.06/x
  3. Step 3: Cross multiply
    446,253.14x = 615,309 × 332,879.06
  4. Step 4: Simplify right side
    446,253.14x = 204,823,481,529.54
  5. Step 5: Solve for x
    x = 204,823,481,529.54/446,253.14
  6. Step 6: Final answer
    x = 458,984.96

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1.5x scale

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.