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Finding the Fourth Proportional to 264,614, 365,224.80 and 162,727.06

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Solution

The fourth proportional to 264,614, 365,224.80 and 162,727.06 is: 224,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,614 : 365,224.80 = 162,727.06 : x
  2. Step 2: Convert to fraction form
    264,614/365,224.80 = 162,727.06/x
  3. Step 3: Cross multiply
    264,614x = 365,224.80 × 162,727.06
  4. Step 4: Simplify right side
    264,614x = 59,431,957,943.09
  5. Step 5: Solve for x
    x = 59,431,957,943.09/264,614
  6. Step 6: Final answer
    x = 224,598.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.