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Finding the Fourth Proportional to 305,683.43, 458,459.49 and 191,776.37

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Solution

The fourth proportional to 305,683.43, 458,459.49 and 191,776.37 is: 287,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,683.43 : 458,459.49 = 191,776.37 : x
  2. Step 2: Convert to fraction form
    305,683.43/458,459.49 = 191,776.37/x
  3. Step 3: Cross multiply
    305,683.43x = 458,459.49 × 191,776.37
  4. Step 4: Simplify right side
    305,683.43x = 87,921,696,784.25
  5. Step 5: Solve for x
    x = 87,921,696,784.25/305,683.43
  6. Step 6: Final answer
    x = 287,623.37

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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.