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Finding the Fourth Proportional to 433,527.20, 650,031.60 and 223,575.20

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Solution

The fourth proportional to 433,527.20, 650,031.60 and 223,575.20 is: 335,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,527.20 : 650,031.60 = 223,575.20 : x
  2. Step 2: Convert to fraction form
    433,527.20/650,031.60 = 223,575.20/x
  3. Step 3: Cross multiply
    433,527.20x = 650,031.60 × 223,575.20
  4. Step 4: Simplify right side
    433,527.20x = 145,330,944,976.32
  5. Step 5: Solve for x
    x = 145,330,944,976.32/433,527.20
  6. Step 6: Final answer
    x = 335,229.13

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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.