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Finding the Fourth Proportional to 384,006.20, 576,009.30 and 117,764.60

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Solution

The fourth proportional to 384,006.20, 576,009.30 and 117,764.60 is: 176,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,006.20 : 576,009.30 = 117,764.60 : x
  2. Step 2: Convert to fraction form
    384,006.20/576,009.30 = 117,764.60/x
  3. Step 3: Cross multiply
    384,006.20x = 576,009.30 × 117,764.60
  4. Step 4: Simplify right side
    384,006.20x = 67,833,504,810.78
  5. Step 5: Solve for x
    x = 67,833,504,810.78/384,006.20
  6. Step 6: Final answer
    x = 176,646.90

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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.