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Finding the Fourth Proportional to 455,006.54, 682,218.20 and 188,950.70

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Solution

The fourth proportional to 455,006.54, 682,218.20 and 188,950.70 is: 283,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,006.54 : 682,218.20 = 188,950.70 : x
  2. Step 2: Convert to fraction form
    455,006.54/682,218.20 = 188,950.70/x
  3. Step 3: Cross multiply
    455,006.54x = 682,218.20 × 188,950.70
  4. Step 4: Simplify right side
    455,006.54x = 128,905,606,442.74
  5. Step 5: Solve for x
    x = 128,905,606,442.74/455,006.54
  6. Step 6: Final answer
    x = 283,304.95

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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.