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Finding the Fourth Proportional to 432,825.90, 648,254.70 and 273,393.60

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Solution

The fourth proportional to 432,825.90, 648,254.70 and 273,393.60 is: 409,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,825.90 : 648,254.70 = 273,393.60 : x
  2. Step 2: Convert to fraction form
    432,825.90/648,254.70 = 273,393.60/x
  3. Step 3: Cross multiply
    432,825.90x = 648,254.70 × 273,393.60
  4. Step 4: Simplify right side
    432,825.90x = 177,228,686,149.92
  5. Step 5: Solve for x
    x = 177,228,686,149.92/432,825.90
  6. Step 6: Final answer
    x = 409,468.76

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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.