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Finding the Fourth Proportional to 389,352.84, 584,048.40 and 189,843.77

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Solution

The fourth proportional to 389,352.84, 584,048.40 and 189,843.77 is: 284,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,352.84 : 584,048.40 = 189,843.77 : x
  2. Step 2: Convert to fraction form
    389,352.84/584,048.40 = 189,843.77/x
  3. Step 3: Cross multiply
    389,352.84x = 584,048.40 × 189,843.77
  4. Step 4: Simplify right side
    389,352.84x = 110,877,947,198.23
  5. Step 5: Solve for x
    x = 110,877,947,198.23/389,352.84
  6. Step 6: Final answer
    x = 284,774.98

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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.