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Finding the Fourth Proportional to 264,700.40, 396,827.30 and 114,827.86

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Solution

The fourth proportional to 264,700.40, 396,827.30 and 114,827.86 is: 172,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,700.40 : 396,827.30 = 114,827.86 : x
  2. Step 2: Convert to fraction form
    264,700.40/396,827.30 = 114,827.86/x
  3. Step 3: Cross multiply
    264,700.40x = 396,827.30 × 114,827.86
  4. Step 4: Simplify right side
    264,700.40x = 45,566,829,648.58
  5. Step 5: Solve for x
    x = 45,566,829,648.58/264,700.40
  6. Step 6: Final answer
    x = 172,144.92

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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.