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Finding the Fourth Proportional to 432,782.92, 597,407.10 and 387,380.80

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Solution

The fourth proportional to 432,782.92, 597,407.10 and 387,380.80 is: 534,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,782.92 : 597,407.10 = 387,380.80 : x
  2. Step 2: Convert to fraction form
    432,782.92/597,407.10 = 387,380.80/x
  3. Step 3: Cross multiply
    432,782.92x = 597,407.10 × 387,380.80
  4. Step 4: Simplify right side
    432,782.92x = 231,424,040,323.68
  5. Step 5: Solve for x
    x = 231,424,040,323.68/432,782.92
  6. Step 6: Final answer
    x = 534,734.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.