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Finding the Fourth Proportional to 562,136.10, 842,912.55 and 206,967.30

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Solution

The fourth proportional to 562,136.10, 842,912.55 and 206,967.30 is: 310,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,136.10 : 842,912.55 = 206,967.30 : x
  2. Step 2: Convert to fraction form
    562,136.10/842,912.55 = 206,967.30/x
  3. Step 3: Cross multiply
    562,136.10x = 842,912.55 × 206,967.30
  4. Step 4: Simplify right side
    562,136.10x = 174,455,334,609.62
  5. Step 5: Solve for x
    x = 174,455,334,609.62/562,136.10
  6. Step 6: Final answer
    x = 310,343.59

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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.