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Finding the Fourth Proportional to 439,617.20, 659,425.80 and 282,023.60

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Solution

The fourth proportional to 439,617.20, 659,425.80 and 282,023.60 is: 423,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,617.20 : 659,425.80 = 282,023.60 : x
  2. Step 2: Convert to fraction form
    439,617.20/659,425.80 = 282,023.60/x
  3. Step 3: Cross multiply
    439,617.20x = 659,425.80 × 282,023.60
  4. Step 4: Simplify right side
    439,617.20x = 185,973,638,048.88
  5. Step 5: Solve for x
    x = 185,973,638,048.88/439,617.20
  6. Step 6: Final answer
    x = 423,035.40

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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.