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Finding the Fourth Proportional to 475,853.92, 656,702.50 and 261,014.02

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Solution

The fourth proportional to 475,853.92, 656,702.50 and 261,014.02 is: 360,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,853.92 : 656,702.50 = 261,014.02 : x
  2. Step 2: Convert to fraction form
    475,853.92/656,702.50 = 261,014.02/x
  3. Step 3: Cross multiply
    475,853.92x = 656,702.50 × 261,014.02
  4. Step 4: Simplify right side
    475,853.92x = 171,408,556,185.54
  5. Step 5: Solve for x
    x = 171,408,556,185.54/475,853.92
  6. Step 6: Final answer
    x = 360,212.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.