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Finding the Fourth Proportional to 384,019.80, 576,029.70 and 347,278.20

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Solution

The fourth proportional to 384,019.80, 576,029.70 and 347,278.20 is: 520,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,019.80 : 576,029.70 = 347,278.20 : x
  2. Step 2: Convert to fraction form
    384,019.80/576,029.70 = 347,278.20/x
  3. Step 3: Cross multiply
    384,019.80x = 576,029.70 × 347,278.20
  4. Step 4: Simplify right side
    384,019.80x = 200,042,557,362.54
  5. Step 5: Solve for x
    x = 200,042,557,362.54/384,019.80
  6. Step 6: Final answer
    x = 520,917.30

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1.5x scale

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.