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Finding the Fourth Proportional to 562,004.20, 842,612.10 and 206,972.20

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Solution

The fourth proportional to 562,004.20, 842,612.10 and 206,972.20 is: 310,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,004.20 : 842,612.10 = 206,972.20 : x
  2. Step 2: Convert to fraction form
    562,004.20/842,612.10 = 206,972.20/x
  3. Step 3: Cross multiply
    562,004.20x = 842,612.10 × 206,972.20
  4. Step 4: Simplify right side
    562,004.20x = 174,397,280,083.62
  5. Step 5: Solve for x
    x = 174,397,280,083.62/562,004.20
  6. Step 6: Final answer
    x = 310,313.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.