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Finding the Fourth Proportional to 295,659.50, 442,845.10 and 194,343.18

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Solution

The fourth proportional to 295,659.50, 442,845.10 and 194,343.18 is: 291,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,659.50 : 442,845.10 = 194,343.18 : x
  2. Step 2: Convert to fraction form
    295,659.50/442,845.10 = 194,343.18/x
  3. Step 3: Cross multiply
    295,659.50x = 442,845.10 × 194,343.18
  4. Step 4: Simplify right side
    295,659.50x = 86,063,923,563.68
  5. Step 5: Solve for x
    x = 86,063,923,563.68/295,659.50
  6. Step 6: Final answer
    x = 291,091.35

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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.