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Finding the Fourth Proportional to 336,405.60, 505,310.40 and 283,917.60

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Solution

The fourth proportional to 336,405.60, 505,310.40 and 283,917.60 is: 426,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,405.60 : 505,310.40 = 283,917.60 : x
  2. Step 2: Convert to fraction form
    336,405.60/505,310.40 = 283,917.60/x
  3. Step 3: Cross multiply
    336,405.60x = 505,310.40 × 283,917.60
  4. Step 4: Simplify right side
    336,405.60x = 143,466,516,023.04
  5. Step 5: Solve for x
    x = 143,466,516,023.04/336,405.60
  6. Step 6: Final answer
    x = 426,468.87

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Why These Related Problems?

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