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Finding the Fourth Proportional to 389,593.84, 583,947.82 and 164,813.98

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Solution

The fourth proportional to 389,593.84, 583,947.82 and 164,813.98 is: 247,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,593.84 : 583,947.82 = 164,813.98 : x
  2. Step 2: Convert to fraction form
    389,593.84/583,947.82 = 164,813.98/x
  3. Step 3: Cross multiply
    389,593.84x = 583,947.82 × 164,813.98
  4. Step 4: Simplify right side
    389,593.84x = 96,242,764,326.52
  5. Step 5: Solve for x
    x = 96,242,764,326.52/389,593.84
  6. Step 6: Final answer
    x = 247,033.59

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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.