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Finding the Fourth Proportional to 299,296.60, 448,944.90 and 141,832.60

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Solution

The fourth proportional to 299,296.60, 448,944.90 and 141,832.60 is: 212,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,296.60 : 448,944.90 = 141,832.60 : x
  2. Step 2: Convert to fraction form
    299,296.60/448,944.90 = 141,832.60/x
  3. Step 3: Cross multiply
    299,296.60x = 448,944.90 × 141,832.60
  4. Step 4: Simplify right side
    299,296.60x = 63,675,022,423.74
  5. Step 5: Solve for x
    x = 63,675,022,423.74/299,296.60
  6. Step 6: Final answer
    x = 212,748.90

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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.