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Finding the Fourth Proportional to 461,886.28, 692,829.12 and 336,325.27

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Solution

The fourth proportional to 461,886.28, 692,829.12 and 336,325.27 is: 504,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,886.28 : 692,829.12 = 336,325.27 : x
  2. Step 2: Convert to fraction form
    461,886.28/692,829.12 = 336,325.27/x
  3. Step 3: Cross multiply
    461,886.28x = 692,829.12 × 336,325.27
  4. Step 4: Simplify right side
    461,886.28x = 233,015,940,847.86
  5. Step 5: Solve for x
    x = 233,015,940,847.86/461,886.28
  6. Step 6: Final answer
    x = 504,487.69

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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.