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Finding the Fourth Proportional to 431,546.96, 595,789.95 and 383,667.80

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Solution

The fourth proportional to 431,546.96, 595,789.95 and 383,667.80 is: 529,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,546.96 : 595,789.95 = 383,667.80 : x
  2. Step 2: Convert to fraction form
    431,546.96/595,789.95 = 383,667.80/x
  3. Step 3: Cross multiply
    431,546.96x = 595,789.95 × 383,667.80
  4. Step 4: Simplify right side
    431,546.96x = 228,585,416,399.66
  5. Step 5: Solve for x
    x = 228,585,416,399.66/431,546.96
  6. Step 6: Final answer
    x = 529,688.40

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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.