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Finding the Fourth Proportional to 562,007.02, 842,148.69 and 381,863.02

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Solution

The fourth proportional to 562,007.02, 842,148.69 and 381,863.02 is: 572,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,007.02 : 842,148.69 = 381,863.02 : x
  2. Step 2: Convert to fraction form
    562,007.02/842,148.69 = 381,863.02/x
  3. Step 3: Cross multiply
    562,007.02x = 842,148.69 × 381,863.02
  4. Step 4: Simplify right side
    562,007.02x = 321,585,442,052.44
  5. Step 5: Solve for x
    x = 321,585,442,052.44/562,007.02
  6. Step 6: Final answer
    x = 572,208.94

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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.