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Finding the Fourth Proportional to 471,215.82, 706,820.43 and 190,729.02

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Solution

The fourth proportional to 471,215.82, 706,820.43 and 190,729.02 is: 286,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,215.82 : 706,820.43 = 190,729.02 : x
  2. Step 2: Convert to fraction form
    471,215.82/706,820.43 = 190,729.02/x
  3. Step 3: Cross multiply
    471,215.82x = 706,820.43 × 190,729.02
  4. Step 4: Simplify right side
    471,215.82x = 134,811,167,929.88
  5. Step 5: Solve for x
    x = 134,811,167,929.88/471,215.82
  6. Step 6: Final answer
    x = 286,092.19

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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.