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Finding the Fourth Proportional to 384,097.40, 576,318.90 and 134,958.20

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Solution

The fourth proportional to 384,097.40, 576,318.90 and 134,958.20 is: 202,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,097.40 : 576,318.90 = 134,958.20 : x
  2. Step 2: Convert to fraction form
    384,097.40/576,318.90 = 134,958.20/x
  3. Step 3: Cross multiply
    384,097.40x = 576,318.90 × 134,958.20
  4. Step 4: Simplify right side
    384,097.40x = 77,778,961,369.98
  5. Step 5: Solve for x
    x = 77,778,961,369.98/384,097.40
  6. Step 6: Final answer
    x = 202,498.02

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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.