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Finding the Fourth Proportional to 378,005.20, 567,007.80 and 228,414.40

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Solution

The fourth proportional to 378,005.20, 567,007.80 and 228,414.40 is: 342,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,005.20 : 567,007.80 = 228,414.40 : x
  2. Step 2: Convert to fraction form
    378,005.20/567,007.80 = 228,414.40/x
  3. Step 3: Cross multiply
    378,005.20x = 567,007.80 × 228,414.40
  4. Step 4: Simplify right side
    378,005.20x = 129,512,746,432.32
  5. Step 5: Solve for x
    x = 129,512,746,432.32/378,005.20
  6. Step 6: Final answer
    x = 342,621.60

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1.5x scale

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.