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Finding the Fourth Proportional to 521,730.60, 783,114.30 and 255,791.40

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Solution

The fourth proportional to 521,730.60, 783,114.30 and 255,791.40 is: 383,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,730.60 : 783,114.30 = 255,791.40 : x
  2. Step 2: Convert to fraction form
    521,730.60/783,114.30 = 255,791.40/x
  3. Step 3: Cross multiply
    521,730.60x = 783,114.30 × 255,791.40
  4. Step 4: Simplify right side
    521,730.60x = 200,313,903,157.02
  5. Step 5: Solve for x
    x = 200,313,903,157.02/521,730.60
  6. Step 6: Final answer
    x = 383,941.26

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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.