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Finding the Fourth Proportional to 551,486.43, 827,300.16 and 196,536.33

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Solution

The fourth proportional to 551,486.43, 827,300.16 and 196,536.33 is: 294,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,486.43 : 827,300.16 = 196,536.33 : x
  2. Step 2: Convert to fraction form
    551,486.43/827,300.16 = 196,536.33/x
  3. Step 3: Cross multiply
    551,486.43x = 827,300.16 × 196,536.33
  4. Step 4: Simplify right side
    551,486.43x = 162,594,537,254.81
  5. Step 5: Solve for x
    x = 162,594,537,254.81/551,486.43
  6. Step 6: Final answer
    x = 294,829.62

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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.