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Finding the Fourth Proportional to 685,643.10, 946,177.11 and 383,847.90

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Solution

The fourth proportional to 685,643.10, 946,177.11 and 383,847.90 is: 529,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,643.10 : 946,177.11 = 383,847.90 : x
  2. Step 2: Convert to fraction form
    685,643.10/946,177.11 = 383,847.90/x
  3. Step 3: Cross multiply
    685,643.10x = 946,177.11 × 383,847.90
  4. Step 4: Simplify right side
    685,643.10x = 363,188,096,701.57
  5. Step 5: Solve for x
    x = 363,188,096,701.57/685,643.10
  6. Step 6: Final answer
    x = 529,704.30

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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.