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Finding the Fourth Proportional to 264,824.64, 397,013.04 and 114,952.32

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Solution

The fourth proportional to 264,824.64, 397,013.04 and 114,952.32 is: 172,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,824.64 : 397,013.04 = 114,952.32 : x
  2. Step 2: Convert to fraction form
    264,824.64/397,013.04 = 114,952.32/x
  3. Step 3: Cross multiply
    264,824.64x = 397,013.04 × 114,952.32
  4. Step 4: Simplify right side
    264,824.64x = 45,637,570,018.25
  5. Step 5: Solve for x
    x = 45,637,570,018.25/264,824.64
  6. Step 6: Final answer
    x = 172,331.28

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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.