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Finding the Fourth Proportional to 432,080.70, 648,121.05 and 412,397.70

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Solution

The fourth proportional to 432,080.70, 648,121.05 and 412,397.70 is: 618,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,080.70 : 648,121.05 = 412,397.70 : x
  2. Step 2: Convert to fraction form
    432,080.70/648,121.05 = 412,397.70/x
  3. Step 3: Cross multiply
    432,080.70x = 648,121.05 × 412,397.70
  4. Step 4: Simplify right side
    432,080.70x = 267,283,630,341.59
  5. Step 5: Solve for x
    x = 267,283,630,341.59/432,080.70
  6. Step 6: Final answer
    x = 618,596.55

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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.