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Finding the Fourth Proportional to 326,934.84, 490,298.58 and 105,267

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Solution

The fourth proportional to 326,934.84, 490,298.58 and 105,267 is: 157,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,934.84 : 490,298.58 = 105,267 : x
  2. Step 2: Convert to fraction form
    326,934.84/490,298.58 = 105,267/x
  3. Step 3: Cross multiply
    326,934.84x = 490,298.58 × 105,267
  4. Step 4: Simplify right side
    326,934.84x = 51,612,260,620.86
  5. Step 5: Solve for x
    x = 51,612,260,620.86/326,934.84
  6. Step 6: Final answer
    x = 157,867.12

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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.