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Finding the Fourth Proportional to 471,051.68, 706,164.01 and 186,942.76

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Solution

The fourth proportional to 471,051.68, 706,164.01 and 186,942.76 is: 280,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,051.68 : 706,164.01 = 186,942.76 : x
  2. Step 2: Convert to fraction form
    471,051.68/706,164.01 = 186,942.76/x
  3. Step 3: Cross multiply
    471,051.68x = 706,164.01 × 186,942.76
  4. Step 4: Simplify right side
    471,051.68x = 132,012,246,809.30
  5. Step 5: Solve for x
    x = 132,012,246,809.30/471,051.68
  6. Step 6: Final answer
    x = 280,250.03

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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.