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Finding the Fourth Proportional to 312,594.12, 468,601.98 and 123,157.32

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Solution

The fourth proportional to 312,594.12, 468,601.98 and 123,157.32 is: 184,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,594.12 : 468,601.98 = 123,157.32 : x
  2. Step 2: Convert to fraction form
    312,594.12/468,601.98 = 123,157.32/x
  3. Step 3: Cross multiply
    312,594.12x = 468,601.98 × 123,157.32
  4. Step 4: Simplify right side
    312,594.12x = 57,711,764,003.49
  5. Step 5: Solve for x
    x = 57,711,764,003.49/312,594.12
  6. Step 6: Final answer
    x = 184,622.04

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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.