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Finding the Fourth Proportional to 551,647.34, 827,637.06 and 196,615.16

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Solution

The fourth proportional to 551,647.34, 827,637.06 and 196,615.16 is: 294,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,647.34 : 827,637.06 = 196,615.16 : x
  2. Step 2: Convert to fraction form
    551,647.34/827,637.06 = 196,615.16/x
  3. Step 3: Cross multiply
    551,647.34x = 827,637.06 × 196,615.16
  4. Step 4: Simplify right side
    551,647.34x = 162,725,992,973.83
  5. Step 5: Solve for x
    x = 162,725,992,973.83/551,647.34
  6. Step 6: Final answer
    x = 294,981.92

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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.