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Finding the Fourth Proportional to 384,007.20, 576,010.80 and 342,016.80

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Solution

The fourth proportional to 384,007.20, 576,010.80 and 342,016.80 is: 513,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,007.20 : 576,010.80 = 342,016.80 : x
  2. Step 2: Convert to fraction form
    384,007.20/576,010.80 = 342,016.80/x
  3. Step 3: Cross multiply
    384,007.20x = 576,010.80 × 342,016.80
  4. Step 4: Simplify right side
    384,007.20x = 197,005,370,581.44
  5. Step 5: Solve for x
    x = 197,005,370,581.44/384,007.20
  6. Step 6: Final answer
    x = 513,025.20

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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.