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Finding the Fourth Proportional to 474,459.80, 711,690.17 and 193,977.05

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Solution

The fourth proportional to 474,459.80, 711,690.17 and 193,977.05 is: 290,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,459.80 : 711,690.17 = 193,977.05 : x
  2. Step 2: Convert to fraction form
    474,459.80/711,690.17 = 193,977.05/x
  3. Step 3: Cross multiply
    474,459.80x = 711,690.17 × 193,977.05
  4. Step 4: Simplify right side
    474,459.80x = 138,051,555,162.26
  5. Step 5: Solve for x
    x = 138,051,555,162.26/474,459.80
  6. Step 6: Final answer
    x = 290,965.76

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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.