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Finding the Fourth Proportional to 381,402.60, 571,594.38 and 201,120.36

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Solution

The fourth proportional to 381,402.60, 571,594.38 and 201,120.36 is: 301,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,402.60 : 571,594.38 = 201,120.36 : x
  2. Step 2: Convert to fraction form
    381,402.60/571,594.38 = 201,120.36/x
  3. Step 3: Cross multiply
    381,402.60x = 571,594.38 × 201,120.36
  4. Step 4: Simplify right side
    381,402.60x = 114,959,267,479.58
  5. Step 5: Solve for x
    x = 114,959,267,479.58/381,402.60
  6. Step 6: Final answer
    x = 301,411.86

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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.