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Finding the Fourth Proportional to 180,419.49, 270,630.37 and 47,298.56

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Solution

The fourth proportional to 180,419.49, 270,630.37 and 47,298.56 is: 70,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,419.49 : 270,630.37 = 47,298.56 : x
  2. Step 2: Convert to fraction form
    180,419.49/270,630.37 = 47,298.56/x
  3. Step 3: Cross multiply
    180,419.49x = 270,630.37 × 47,298.56
  4. Step 4: Simplify right side
    180,419.49x = 12,800,425,203.62
  5. Step 5: Solve for x
    x = 12,800,425,203.62/180,419.49
  6. Step 6: Final answer
    x = 70,948.13

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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.