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Finding the Fourth Proportional to 477,596.76, 659,057.46 and 262,702.14

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Solution

The fourth proportional to 477,596.76, 659,057.46 and 262,702.14 is: 362,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,596.76 : 659,057.46 = 262,702.14 : x
  2. Step 2: Convert to fraction form
    477,596.76/659,057.46 = 262,702.14/x
  3. Step 3: Cross multiply
    477,596.76x = 659,057.46 × 262,702.14
  4. Step 4: Simplify right side
    477,596.76x = 173,135,805,124.96
  5. Step 5: Solve for x
    x = 173,135,805,124.96/477,596.76
  6. Step 6: Final answer
    x = 362,514.61

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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.