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Finding the Fourth Proportional to 589,974.94, 814,235.34 and 335,364.40

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Solution

The fourth proportional to 589,974.94, 814,235.34 and 335,364.40 is: 462,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,974.94 : 814,235.34 = 335,364.40 : x
  2. Step 2: Convert to fraction form
    589,974.94/814,235.34 = 335,364.40/x
  3. Step 3: Cross multiply
    589,974.94x = 814,235.34 × 335,364.40
  4. Step 4: Simplify right side
    589,974.94x = 273,065,546,257.90
  5. Step 5: Solve for x
    x = 273,065,546,257.90/589,974.94
  6. Step 6: Final answer
    x = 462,842.62

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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.