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Finding the Fourth Proportional to 283,873.94, 391,732.84 and 162,930.10

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Solution

The fourth proportional to 283,873.94, 391,732.84 and 162,930.10 is: 224,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,873.94 : 391,732.84 = 162,930.10 : x
  2. Step 2: Convert to fraction form
    283,873.94/391,732.84 = 162,930.10/x
  3. Step 3: Cross multiply
    283,873.94x = 391,732.84 × 162,930.10
  4. Step 4: Simplify right side
    283,873.94x = 63,825,068,835.82
  5. Step 5: Solve for x
    x = 63,825,068,835.82/283,873.94
  6. Step 6: Final answer
    x = 224,835.96

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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.