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Finding the Fourth Proportional to 384,538.09, 576,808.56 and 118,296.76

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Solution

The fourth proportional to 384,538.09, 576,808.56 and 118,296.76 is: 177,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,538.09 : 576,808.56 = 118,296.76 : x
  2. Step 2: Convert to fraction form
    384,538.09/576,808.56 = 118,296.76/x
  3. Step 3: Cross multiply
    384,538.09x = 576,808.56 × 118,296.76
  4. Step 4: Simplify right side
    384,538.09x = 68,234,583,788.27
  5. Step 5: Solve for x
    x = 68,234,583,788.27/384,538.09
  6. Step 6: Final answer
    x = 177,445.58

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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.