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Finding the Fourth Proportional to 360,029.14, 496,819.68 and 214,998.64

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Solution

The fourth proportional to 360,029.14, 496,819.68 and 214,998.64 is: 296,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,029.14 : 496,819.68 = 214,998.64 : x
  2. Step 2: Convert to fraction form
    360,029.14/496,819.68 = 214,998.64/x
  3. Step 3: Cross multiply
    360,029.14x = 496,819.68 × 214,998.64
  4. Step 4: Simplify right side
    360,029.14x = 106,815,553,476.94
  5. Step 5: Solve for x
    x = 106,815,553,476.94/360,029.14
  6. Step 6: Final answer
    x = 296,685.86

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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.