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Finding the Fourth Proportional to 264,635.63, 396,952.84 and 114,856.51

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Solution

The fourth proportional to 264,635.63, 396,952.84 and 114,856.51 is: 172,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,635.63 : 396,952.84 = 114,856.51 : x
  2. Step 2: Convert to fraction form
    264,635.63/396,952.84 = 114,856.51/x
  3. Step 3: Cross multiply
    264,635.63x = 396,952.84 × 114,856.51
  4. Step 4: Simplify right side
    264,635.63x = 45,592,616,988.18
  5. Step 5: Solve for x
    x = 45,592,616,988.18/264,635.63
  6. Step 6: Final answer
    x = 172,284.50

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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.