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Finding the Fourth Proportional to 493,308, 739,962 and 160,884

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Solution

The fourth proportional to 493,308, 739,962 and 160,884 is: 241,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,308 : 739,962 = 160,884 : x
  2. Step 2: Convert to fraction form
    493,308/739,962 = 160,884/x
  3. Step 3: Cross multiply
    493,308x = 739,962 × 160,884
  4. Step 4: Simplify right side
    493,308x = 119,048,046,408
  5. Step 5: Solve for x
    x = 119,048,046,408/493,308
  6. Step 6: Final answer
    x = 241,326

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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.