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Finding the Fourth Proportional to 384,089.40, 576,134.10 and 263,820.60

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Solution

The fourth proportional to 384,089.40, 576,134.10 and 263,820.60 is: 395,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,089.40 : 576,134.10 = 263,820.60 : x
  2. Step 2: Convert to fraction form
    384,089.40/576,134.10 = 263,820.60/x
  3. Step 3: Cross multiply
    384,089.40x = 576,134.10 × 263,820.60
  4. Step 4: Simplify right side
    384,089.40x = 151,996,043,942.46
  5. Step 5: Solve for x
    x = 151,996,043,942.46/384,089.40
  6. Step 6: Final answer
    x = 395,730.90

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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.