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Finding the Fourth Proportional to 384,114.20, 576,171.30 and 317,629.40

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Solution

The fourth proportional to 384,114.20, 576,171.30 and 317,629.40 is: 476,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114.20 : 576,171.30 = 317,629.40 : x
  2. Step 2: Convert to fraction form
    384,114.20/576,171.30 = 317,629.40/x
  3. Step 3: Cross multiply
    384,114.20x = 576,171.30 × 317,629.40
  4. Step 4: Simplify right side
    384,114.20x = 183,008,944,316.22
  5. Step 5: Solve for x
    x = 183,008,944,316.22/384,114.20
  6. Step 6: Final answer
    x = 476,444.10

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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.