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Finding the Fourth Proportional to 562,006.20, 842,615.10 and 206,974.20

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Solution

The fourth proportional to 562,006.20, 842,615.10 and 206,974.20 is: 310,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,006.20 : 842,615.10 = 206,974.20 : x
  2. Step 2: Convert to fraction form
    562,006.20/842,615.10 = 206,974.20/x
  3. Step 3: Cross multiply
    562,006.20x = 842,615.10 × 206,974.20
  4. Step 4: Simplify right side
    562,006.20x = 174,399,586,230.42
  5. Step 5: Solve for x
    x = 174,399,586,230.42/562,006.20
  6. Step 6: Final answer
    x = 310,316.13

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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.