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Finding the Fourth Proportional to 307,653.89, 460,816.53 and 300,125.15

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Solution

The fourth proportional to 307,653.89, 460,816.53 and 300,125.15 is: 449,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,653.89 : 460,816.53 = 300,125.15 : x
  2. Step 2: Convert to fraction form
    307,653.89/460,816.53 = 300,125.15/x
  3. Step 3: Cross multiply
    307,653.89x = 460,816.53 × 300,125.15
  4. Step 4: Simplify right side
    307,653.89x = 138,302,627,884.65
  5. Step 5: Solve for x
    x = 138,302,627,884.65/307,653.89
  6. Step 6: Final answer
    x = 449,539.68

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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.