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Finding the Fourth Proportional to 384,100.40, 576,193.80 and 117,858.80

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Solution

The fourth proportional to 384,100.40, 576,193.80 and 117,858.80 is: 176,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,100.40 : 576,193.80 = 117,858.80 : x
  2. Step 2: Convert to fraction form
    384,100.40/576,193.80 = 117,858.80/x
  3. Step 3: Cross multiply
    384,100.40x = 576,193.80 × 117,858.80
  4. Step 4: Simplify right side
    384,100.40x = 67,909,509,835.44
  5. Step 5: Solve for x
    x = 67,909,509,835.44/384,100.40
  6. Step 6: Final answer
    x = 176,801.46

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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.