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Finding the Fourth Proportional to 432,833.90, 648,266.70 and 273,401.60

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Solution

The fourth proportional to 432,833.90, 648,266.70 and 273,401.60 is: 409,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,833.90 : 648,266.70 = 273,401.60 : x
  2. Step 2: Convert to fraction form
    432,833.90/648,266.70 = 273,401.60/x
  3. Step 3: Cross multiply
    432,833.90x = 648,266.70 × 273,401.60
  4. Step 4: Simplify right side
    432,833.90x = 177,237,153,006.72
  5. Step 5: Solve for x
    x = 177,237,153,006.72/432,833.90
  6. Step 6: Final answer
    x = 409,480.76

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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.