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Finding the Fourth Proportional to 311,575.60, 467,164.14 and 185,182.12

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Solution

The fourth proportional to 311,575.60, 467,164.14 and 185,182.12 is: 277,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,575.60 : 467,164.14 = 185,182.12 : x
  2. Step 2: Convert to fraction form
    311,575.60/467,164.14 = 185,182.12/x
  3. Step 3: Cross multiply
    311,575.60x = 467,164.14 × 185,182.12
  4. Step 4: Simplify right side
    311,575.60x = 86,510,445,833.18
  5. Step 5: Solve for x
    x = 86,510,445,833.18/311,575.60
  6. Step 6: Final answer
    x = 277,654.75

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1.5x scale

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.