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Finding the Fourth Proportional to 574,104, 861,363.36 and 180,120

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Solution

The fourth proportional to 574,104, 861,363.36 and 180,120 is: 270,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,104 : 861,363.36 = 180,120 : x
  2. Step 2: Convert to fraction form
    574,104/861,363.36 = 180,120/x
  3. Step 3: Cross multiply
    574,104x = 861,363.36 × 180,120
  4. Step 4: Simplify right side
    574,104x = 155,148,768,403.20
  5. Step 5: Solve for x
    x = 155,148,768,403.20/574,104
  6. Step 6: Final answer
    x = 270,245.06

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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.