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Finding the Fourth Proportional to 410,092.48, 614,928.06 and 185,331.16

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Solution

The fourth proportional to 410,092.48, 614,928.06 and 185,331.16 is: 277,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,092.48 : 614,928.06 = 185,331.16 : x
  2. Step 2: Convert to fraction form
    410,092.48/614,928.06 = 185,331.16/x
  3. Step 3: Cross multiply
    410,092.48x = 614,928.06 × 185,331.16
  4. Step 4: Simplify right side
    410,092.48x = 113,965,330,676.35
  5. Step 5: Solve for x
    x = 113,965,330,676.35/410,092.48
  6. Step 6: Final answer
    x = 277,901.54

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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.