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Finding the Fourth Proportional to 402,115.96, 602,996.76 and 188,944.52

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Solution

The fourth proportional to 402,115.96, 602,996.76 and 188,944.52 is: 283,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,115.96 : 602,996.76 = 188,944.52 : x
  2. Step 2: Convert to fraction form
    402,115.96/602,996.76 = 188,944.52/x
  3. Step 3: Cross multiply
    402,115.96x = 602,996.76 × 188,944.52
  4. Step 4: Simplify right side
    402,115.96x = 113,932,933,379.76
  5. Step 5: Solve for x
    x = 113,932,933,379.76/402,115.96
  6. Step 6: Final answer
    x = 283,333.53

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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.