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Finding the Fourth Proportional to 264,665.84, 396,997.80 and 114,886.58

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Solution

The fourth proportional to 264,665.84, 396,997.80 and 114,886.58 is: 172,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,665.84 : 396,997.80 = 114,886.58 : x
  2. Step 2: Convert to fraction form
    264,665.84/396,997.80 = 114,886.58/x
  3. Step 3: Cross multiply
    264,665.84x = 396,997.80 × 114,886.58
  4. Step 4: Simplify right side
    264,665.84x = 45,609,719,509.52
  5. Step 5: Solve for x
    x = 45,609,719,509.52/264,665.84
  6. Step 6: Final answer
    x = 172,329.45

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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.