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Finding the Fourth Proportional to 463,782.56, 695,985.60 and 164,262.08

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Solution

The fourth proportional to 463,782.56, 695,985.60 and 164,262.08 is: 246,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,782.56 : 695,985.60 = 164,262.08 : x
  2. Step 2: Convert to fraction form
    463,782.56/695,985.60 = 164,262.08/x
  3. Step 3: Cross multiply
    463,782.56x = 695,985.60 × 164,262.08
  4. Step 4: Simplify right side
    463,782.56x = 114,324,042,306.05
  5. Step 5: Solve for x
    x = 114,324,042,306.05/463,782.56
  6. Step 6: Final answer
    x = 246,503.54

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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.