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Finding the Fourth Proportional to 382,124.79, 573,199.94 and 171,763.34

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Solution

The fourth proportional to 382,124.79, 573,199.94 and 171,763.34 is: 257,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,124.79 : 573,199.94 = 171,763.34 : x
  2. Step 2: Convert to fraction form
    382,124.79/573,199.94 = 171,763.34/x
  3. Step 3: Cross multiply
    382,124.79x = 573,199.94 × 171,763.34
  4. Step 4: Simplify right side
    382,124.79x = 98,454,733,745.61
  5. Step 5: Solve for x
    x = 98,454,733,745.61/382,124.79
  6. Step 6: Final answer
    x = 257,650.74

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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.