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Finding the Fourth Proportional to 384,722.75, 577,093.98 and 182,271.45

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Solution

The fourth proportional to 384,722.75, 577,093.98 and 182,271.45 is: 273,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,722.75 : 577,093.98 = 182,271.45 : x
  2. Step 2: Convert to fraction form
    384,722.75/577,093.98 = 182,271.45/x
  3. Step 3: Cross multiply
    384,722.75x = 577,093.98 × 182,271.45
  4. Step 4: Simplify right side
    384,722.75x = 105,187,756,520.87
  5. Step 5: Solve for x
    x = 105,187,756,520.87/384,722.75
  6. Step 6: Final answer
    x = 273,411.85

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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.