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Finding the Fourth Proportional to 432,484.20, 648,726.30 and 412,801.20

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Solution

The fourth proportional to 432,484.20, 648,726.30 and 412,801.20 is: 619,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,484.20 : 648,726.30 = 412,801.20 : x
  2. Step 2: Convert to fraction form
    432,484.20/648,726.30 = 412,801.20/x
  3. Step 3: Cross multiply
    432,484.20x = 648,726.30 × 412,801.20
  4. Step 4: Simplify right side
    432,484.20x = 267,794,995,111.56
  5. Step 5: Solve for x
    x = 267,794,995,111.56/432,484.20
  6. Step 6: Final answer
    x = 619,201.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.