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Finding the Fourth Proportional to 339,662.97, 509,494.46 and 152,455.77

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Solution

The fourth proportional to 339,662.97, 509,494.46 and 152,455.77 is: 228,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,662.97 : 509,494.46 = 152,455.77 : x
  2. Step 2: Convert to fraction form
    339,662.97/509,494.46 = 152,455.77/x
  3. Step 3: Cross multiply
    339,662.97x = 509,494.46 × 152,455.77
  4. Step 4: Simplify right side
    339,662.97x = 77,675,369,447.76
  5. Step 5: Solve for x
    x = 77,675,369,447.76/339,662.97
  6. Step 6: Final answer
    x = 228,683.66

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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.