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Finding the Fourth Proportional to 260,199.40, 389,715.90 and 213,543.40

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Solution

The fourth proportional to 260,199.40, 389,715.90 and 213,543.40 is: 319,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,199.40 : 389,715.90 = 213,543.40 : x
  2. Step 2: Convert to fraction form
    260,199.40/389,715.90 = 213,543.40/x
  3. Step 3: Cross multiply
    260,199.40x = 389,715.90 × 213,543.40
  4. Step 4: Simplify right side
    260,199.40x = 83,221,258,320.06
  5. Step 5: Solve for x
    x = 83,221,258,320.06/260,199.40
  6. Step 6: Final answer
    x = 319,836.47

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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.