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Finding the Fourth Proportional to 471,218.82, 706,824.90 and 190,732.02

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Solution

The fourth proportional to 471,218.82, 706,824.90 and 190,732.02 is: 286,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,218.82 : 706,824.90 = 190,732.02 : x
  2. Step 2: Convert to fraction form
    471,218.82/706,824.90 = 190,732.02/x
  3. Step 3: Cross multiply
    471,218.82x = 706,824.90 × 190,732.02
  4. Step 4: Simplify right side
    471,218.82x = 134,814,140,963.30
  5. Step 5: Solve for x
    x = 134,814,140,963.30/471,218.82
  6. Step 6: Final answer
    x = 286,096.68

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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.