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Finding the Fourth Proportional to 355,442.80, 532,300.20 and 188,863.60

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Solution

The fourth proportional to 355,442.80, 532,300.20 and 188,863.60 is: 282,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,442.80 : 532,300.20 = 188,863.60 : x
  2. Step 2: Convert to fraction form
    355,442.80/532,300.20 = 188,863.60/x
  3. Step 3: Cross multiply
    355,442.80x = 532,300.20 × 188,863.60
  4. Step 4: Simplify right side
    355,442.80x = 100,532,132,052.72
  5. Step 5: Solve for x
    x = 100,532,132,052.72/355,442.80
  6. Step 6: Final answer
    x = 282,836.32

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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.