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Finding the Fourth Proportional to 310,104.54, 464,861.50 and 99,594.86

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Solution

The fourth proportional to 310,104.54, 464,861.50 and 99,594.86 is: 149,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,104.54 : 464,861.50 = 99,594.86 : x
  2. Step 2: Convert to fraction form
    310,104.54/464,861.50 = 99,594.86/x
  3. Step 3: Cross multiply
    310,104.54x = 464,861.50 × 99,594.86
  4. Step 4: Simplify right side
    310,104.54x = 46,297,813,438.60
  5. Step 5: Solve for x
    x = 46,297,813,438.60/310,104.54
  6. Step 6: Final answer
    x = 149,297.44

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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.