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Finding the Fourth Proportional to 355,434.80, 532,288.20 and 188,855.60

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Solution

The fourth proportional to 355,434.80, 532,288.20 and 188,855.60 is: 282,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,434.80 : 532,288.20 = 188,855.60 : x
  2. Step 2: Convert to fraction form
    355,434.80/532,288.20 = 188,855.60/x
  3. Step 3: Cross multiply
    355,434.80x = 532,288.20 × 188,855.60
  4. Step 4: Simplify right side
    355,434.80x = 100,525,607,383.92
  5. Step 5: Solve for x
    x = 100,525,607,383.92/355,434.80
  6. Step 6: Final answer
    x = 282,824.32

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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.