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Finding the Fourth Proportional to 305,553.60, 458,152.74 and 204,467.16

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Solution

The fourth proportional to 305,553.60, 458,152.74 and 204,467.16 is: 306,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,553.60 : 458,152.74 = 204,467.16 : x
  2. Step 2: Convert to fraction form
    305,553.60/458,152.74 = 204,467.16/x
  3. Step 3: Cross multiply
    305,553.60x = 458,152.74 × 204,467.16
  4. Step 4: Simplify right side
    305,553.60x = 93,677,189,594.02
  5. Step 5: Solve for x
    x = 93,677,189,594.02/305,553.60
  6. Step 6: Final answer
    x = 306,581.86

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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.