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Finding the Fourth Proportional to 311,437.73, 429,784.04 and 168,197.78

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Solution

The fourth proportional to 311,437.73, 429,784.04 and 168,197.78 is: 232,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,437.73 : 429,784.04 = 168,197.78 : x
  2. Step 2: Convert to fraction form
    311,437.73/429,784.04 = 168,197.78/x
  3. Step 3: Cross multiply
    311,437.73x = 429,784.04 × 168,197.78
  4. Step 4: Simplify right side
    311,437.73x = 72,288,720,566.44
  5. Step 5: Solve for x
    x = 72,288,720,566.44/311,437.73
  6. Step 6: Final answer
    x = 232,112.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.