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Finding the Fourth Proportional to 356,429.96, 534,651.76 and 116,544.76

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Solution

The fourth proportional to 356,429.96, 534,651.76 and 116,544.76 is: 174,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,429.96 : 534,651.76 = 116,544.76 : x
  2. Step 2: Convert to fraction form
    356,429.96/534,651.76 = 116,544.76/x
  3. Step 3: Cross multiply
    356,429.96x = 534,651.76 × 116,544.76
  4. Step 4: Simplify right side
    356,429.96x = 62,310,858,379.52
  5. Step 5: Solve for x
    x = 62,310,858,379.52/356,429.96
  6. Step 6: Final answer
    x = 174,819.36

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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.