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Finding the Fourth Proportional to 467,771.85, 645,597.81 and 307,092.96

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Solution

The fourth proportional to 467,771.85, 645,597.81 and 307,092.96 is: 423,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,771.85 : 645,597.81 = 307,092.96 : x
  2. Step 2: Convert to fraction form
    467,771.85/645,597.81 = 307,092.96/x
  3. Step 3: Cross multiply
    467,771.85x = 645,597.81 × 307,092.96
  4. Step 4: Simplify right side
    467,771.85x = 198,258,542,442.42
  5. Step 5: Solve for x
    x = 198,258,542,442.42/467,771.85
  6. Step 6: Final answer
    x = 423,835.98

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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.