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Finding the Fourth Proportional to 471,422.70, 706,356.45 and 401,438.70

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Solution

The fourth proportional to 471,422.70, 706,356.45 and 401,438.70 is: 601,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,422.70 : 706,356.45 = 401,438.70 : x
  2. Step 2: Convert to fraction form
    471,422.70/706,356.45 = 401,438.70/x
  3. Step 3: Cross multiply
    471,422.70x = 706,356.45 × 401,438.70
  4. Step 4: Simplify right side
    471,422.70x = 283,558,815,024.62
  5. Step 5: Solve for x
    x = 283,558,815,024.62/471,422.70
  6. Step 6: Final answer
    x = 601,495.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.