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Finding the Fourth Proportional to 283,348.94, 391,006.44 and 162,484.38

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Solution

The fourth proportional to 283,348.94, 391,006.44 and 162,484.38 is: 224,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,348.94 : 391,006.44 = 162,484.38 : x
  2. Step 2: Convert to fraction form
    283,348.94/391,006.44 = 162,484.38/x
  3. Step 3: Cross multiply
    283,348.94x = 391,006.44 × 162,484.38
  4. Step 4: Simplify right side
    283,348.94x = 63,532,438,979.41
  5. Step 5: Solve for x
    x = 63,532,438,979.41/283,348.94
  6. Step 6: Final answer
    x = 224,219.79

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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.