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Finding the Fourth Proportional to 311,742.96, 467,499.60 and 112,009.92

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Solution

The fourth proportional to 311,742.96, 467,499.60 and 112,009.92 is: 167,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,742.96 : 467,499.60 = 112,009.92 : x
  2. Step 2: Convert to fraction form
    311,742.96/467,499.60 = 112,009.92/x
  3. Step 3: Cross multiply
    311,742.96x = 467,499.60 × 112,009.92
  4. Step 4: Simplify right side
    311,742.96x = 52,364,592,796.03
  5. Step 5: Solve for x
    x = 52,364,592,796.03/311,742.96
  6. Step 6: Final answer
    x = 167,973.62

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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.