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Finding the Fourth Proportional to 260,152.40, 389,645.40 and 213,496.40

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Solution

The fourth proportional to 260,152.40, 389,645.40 and 213,496.40 is: 319,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,152.40 : 389,645.40 = 213,496.40 : x
  2. Step 2: Convert to fraction form
    260,152.40/389,645.40 = 213,496.40/x
  3. Step 3: Cross multiply
    260,152.40x = 389,645.40 × 213,496.40
  4. Step 4: Simplify right side
    260,152.40x = 83,187,890,176.56
  5. Step 5: Solve for x
    x = 83,187,890,176.56/260,152.40
  6. Step 6: Final answer
    x = 319,765.99

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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.