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Finding the Fourth Proportional to 432,046.80, 648,070.20 and 299,077.20

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Solution

The fourth proportional to 432,046.80, 648,070.20 and 299,077.20 is: 448,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,046.80 : 648,070.20 = 299,077.20 : x
  2. Step 2: Convert to fraction form
    432,046.80/648,070.20 = 299,077.20/x
  3. Step 3: Cross multiply
    432,046.80x = 648,070.20 × 299,077.20
  4. Step 4: Simplify right side
    432,046.80x = 193,823,020,819.44
  5. Step 5: Solve for x
    x = 193,823,020,819.44/432,046.80
  6. Step 6: Final answer
    x = 448,615.80

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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.