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Finding the Fourth Proportional to 432,078.30, 647,923.05 and 165,750.30

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Solution

The fourth proportional to 432,078.30, 647,923.05 and 165,750.30 is: 248,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,078.30 : 647,923.05 = 165,750.30 : x
  2. Step 2: Convert to fraction form
    432,078.30/647,923.05 = 165,750.30/x
  3. Step 3: Cross multiply
    432,078.30x = 647,923.05 × 165,750.30
  4. Step 4: Simplify right side
    432,078.30x = 107,393,439,914.42
  5. Step 5: Solve for x
    x = 107,393,439,914.42/432,078.30
  6. Step 6: Final answer
    x = 248,550.88

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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.