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Finding the Fourth Proportional to 488,494.20, 732,914.10 and 471,214.20

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Solution

The fourth proportional to 488,494.20, 732,914.10 and 471,214.20 is: 706,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,494.20 : 732,914.10 = 471,214.20 : x
  2. Step 2: Convert to fraction form
    488,494.20/732,914.10 = 471,214.20/x
  3. Step 3: Cross multiply
    488,494.20x = 732,914.10 × 471,214.20
  4. Step 4: Simplify right side
    488,494.20x = 345,359,531,300.22
  5. Step 5: Solve for x
    x = 345,359,531,300.22/488,494.20
  6. Step 6: Final answer
    x = 706,987.99

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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.