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Finding the Fourth Proportional to 689,633.42, 951,154.09 and 471,971.12

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Solution

The fourth proportional to 689,633.42, 951,154.09 and 471,971.12 is: 650,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,633.42 : 951,154.09 = 471,971.12 : x
  2. Step 2: Convert to fraction form
    689,633.42/951,154.09 = 471,971.12/x
  3. Step 3: Cross multiply
    689,633.42x = 951,154.09 × 471,971.12
  4. Step 4: Simplify right side
    689,633.42x = 448,917,255,214.18
  5. Step 5: Solve for x
    x = 448,917,255,214.18/689,633.42
  6. Step 6: Final answer
    x = 650,950.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.