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Finding the Fourth Proportional to 512,959.60, 769,439.40 and 488,465.20

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Solution

The fourth proportional to 512,959.60, 769,439.40 and 488,465.20 is: 732,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,959.60 : 769,439.40 = 488,465.20 : x
  2. Step 2: Convert to fraction form
    512,959.60/769,439.40 = 488,465.20/x
  3. Step 3: Cross multiply
    512,959.60x = 769,439.40 × 488,465.20
  4. Step 4: Simplify right side
    512,959.60x = 375,844,370,408.88
  5. Step 5: Solve for x
    x = 375,844,370,408.88/512,959.60
  6. Step 6: Final answer
    x = 732,697.80

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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.