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Finding the Fourth Proportional to 432,022.80, 648,034.20 and 219,446.40

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Solution

The fourth proportional to 432,022.80, 648,034.20 and 219,446.40 is: 329,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,022.80 : 648,034.20 = 219,446.40 : x
  2. Step 2: Convert to fraction form
    432,022.80/648,034.20 = 219,446.40/x
  3. Step 3: Cross multiply
    432,022.80x = 648,034.20 × 219,446.40
  4. Step 4: Simplify right side
    432,022.80x = 142,208,772,266.88
  5. Step 5: Solve for x
    x = 142,208,772,266.88/432,022.80
  6. Step 6: Final answer
    x = 329,169.60

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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.