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Finding the Fourth Proportional to 432,003.70, 648,005.55 and 416,257.30

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Solution

The fourth proportional to 432,003.70, 648,005.55 and 416,257.30 is: 624,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,003.70 : 648,005.55 = 416,257.30 : x
  2. Step 2: Convert to fraction form
    432,003.70/648,005.55 = 416,257.30/x
  3. Step 3: Cross multiply
    432,003.70x = 648,005.55 × 416,257.30
  4. Step 4: Simplify right side
    432,003.70x = 269,737,040,628.02
  5. Step 5: Solve for x
    x = 269,737,040,628.02/432,003.70
  6. Step 6: Final answer
    x = 624,385.95

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1.5x scale

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.