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Finding the Fourth Proportional to 493,704.60, 680,844.33 and 340,497.96

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Solution

The fourth proportional to 493,704.60, 680,844.33 and 340,497.96 is: 469,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,704.60 : 680,844.33 = 340,497.96 : x
  2. Step 2: Convert to fraction form
    493,704.60/680,844.33 = 340,497.96/x
  3. Step 3: Cross multiply
    493,704.60x = 680,844.33 × 340,497.96
  4. Step 4: Simplify right side
    493,704.60x = 231,826,105,442.57
  5. Step 5: Solve for x
    x = 231,826,105,442.57/493,704.60
  6. Step 6: Final answer
    x = 469,564.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.