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Finding the Fourth Proportional to 288,982.40, 433,473.60 and 259,530.80

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Solution

The fourth proportional to 288,982.40, 433,473.60 and 259,530.80 is: 389,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,982.40 : 433,473.60 = 259,530.80 : x
  2. Step 2: Convert to fraction form
    288,982.40/433,473.60 = 259,530.80/x
  3. Step 3: Cross multiply
    288,982.40x = 433,473.60 × 259,530.80
  4. Step 4: Simplify right side
    288,982.40x = 112,499,750,186.88
  5. Step 5: Solve for x
    x = 112,499,750,186.88/288,982.40
  6. Step 6: Final answer
    x = 389,296.20

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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.