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Finding the Fourth Proportional to 682,765.32, 941,809.68 and 441,189.84

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Solution

The fourth proportional to 682,765.32, 941,809.68 and 441,189.84 is: 608,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,765.32 : 941,809.68 = 441,189.84 : x
  2. Step 2: Convert to fraction form
    682,765.32/941,809.68 = 441,189.84/x
  3. Step 3: Cross multiply
    682,765.32x = 941,809.68 × 441,189.84
  4. Step 4: Simplify right side
    682,765.32x = 415,516,862,029.65
  5. Step 5: Solve for x
    x = 415,516,862,029.65/682,765.32
  6. Step 6: Final answer
    x = 608,579.33

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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.