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Finding the Fourth Proportional to 285,616.94, 425,871.92 and 277,769.87

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Solution

The fourth proportional to 285,616.94, 425,871.92 and 277,769.87 is: 414,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,616.94 : 425,871.92 = 277,769.87 : x
  2. Step 2: Convert to fraction form
    285,616.94/425,871.92 = 277,769.87/x
  3. Step 3: Cross multiply
    285,616.94x = 425,871.92 × 277,769.87
  4. Step 4: Simplify right side
    285,616.94x = 118,294,389,614.16
  5. Step 5: Solve for x
    x = 118,294,389,614.16/285,616.94
  6. Step 6: Final answer
    x = 414,171.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.