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Finding the Fourth Proportional to 311,577.60, 467,167.14 and 185,184.12

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Solution

The fourth proportional to 311,577.60, 467,167.14 and 185,184.12 is: 277,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,577.60 : 467,167.14 = 185,184.12 : x
  2. Step 2: Convert to fraction form
    311,577.60/467,167.14 = 185,184.12/x
  3. Step 3: Cross multiply
    311,577.60x = 467,167.14 × 185,184.12
  4. Step 4: Simplify right side
    311,577.60x = 86,511,935,713.82
  5. Step 5: Solve for x
    x = 86,511,935,713.82/311,577.60
  6. Step 6: Final answer
    x = 277,657.75

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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.