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Finding the Fourth Proportional to 305,828.52, 458,225.10 and 187,252.26

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Solution

The fourth proportional to 305,828.52, 458,225.10 and 187,252.26 is: 280,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,828.52 : 458,225.10 = 187,252.26 : x
  2. Step 2: Convert to fraction form
    305,828.52/458,225.10 = 187,252.26/x
  3. Step 3: Cross multiply
    305,828.52x = 458,225.10 × 187,252.26
  4. Step 4: Simplify right side
    305,828.52x = 85,803,685,563.73
  5. Step 5: Solve for x
    x = 85,803,685,563.73/305,828.52
  6. Step 6: Final answer
    x = 280,561.43

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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.