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Finding the Fourth Proportional to 562,106, 843,169.96 and 206,937.20

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Solution

The fourth proportional to 562,106, 843,169.96 and 206,937.20 is: 310,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,106 : 843,169.96 = 206,937.20 : x
  2. Step 2: Convert to fraction form
    562,106/843,169.96 = 206,937.20/x
  3. Step 3: Cross multiply
    562,106x = 843,169.96 × 206,937.20
  4. Step 4: Simplify right side
    562,106x = 174,483,230,646.51
  5. Step 5: Solve for x
    x = 174,483,230,646.51/562,106
  6. Step 6: Final answer
    x = 310,409.83

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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.