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Finding the Fourth Proportional to 264,784.04, 396,952.98 and 114,911.48

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Solution

The fourth proportional to 264,784.04, 396,952.98 and 114,911.48 is: 172,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,784.04 : 396,952.98 = 114,911.48 : x
  2. Step 2: Convert to fraction form
    264,784.04/396,952.98 = 114,911.48/x
  3. Step 3: Cross multiply
    264,784.04x = 396,952.98 × 114,911.48
  4. Step 4: Simplify right side
    264,784.04x = 45,614,454,422.21
  5. Step 5: Solve for x
    x = 45,614,454,422.21/264,784.04
  6. Step 6: Final answer
    x = 172,270.41

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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.