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Finding the Fourth Proportional to 283,853.38, 391,699.78 and 162,909.54

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Solution

The fourth proportional to 283,853.38, 391,699.78 and 162,909.54 is: 224,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,853.38 : 391,699.78 = 162,909.54 : x
  2. Step 2: Convert to fraction form
    283,853.38/391,699.78 = 162,909.54/x
  3. Step 3: Cross multiply
    283,853.38x = 391,699.78 × 162,909.54
  4. Step 4: Simplify right side
    283,853.38x = 63,811,630,570.63
  5. Step 5: Solve for x
    x = 63,811,630,570.63/283,853.38
  6. Step 6: Final answer
    x = 224,804.90

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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.