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Finding the Fourth Proportional to 264,297.75, 365,033.64 and 174,057.08

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Solution

The fourth proportional to 264,297.75, 365,033.64 and 174,057.08 is: 240,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,297.75 : 365,033.64 = 174,057.08 : x
  2. Step 2: Convert to fraction form
    264,297.75/365,033.64 = 174,057.08/x
  3. Step 3: Cross multiply
    264,297.75x = 365,033.64 × 174,057.08
  4. Step 4: Simplify right side
    264,297.75x = 63,536,687,655.00
  5. Step 5: Solve for x
    x = 63,536,687,655.00/264,297.75
  6. Step 6: Final answer
    x = 240,398.14

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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.