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Finding the Fourth Proportional to 412,708.86, 569,572.02 and 242,976.60

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Solution

The fourth proportional to 412,708.86, 569,572.02 and 242,976.60 is: 335,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,708.86 : 569,572.02 = 242,976.60 : x
  2. Step 2: Convert to fraction form
    412,708.86/569,572.02 = 242,976.60/x
  3. Step 3: Cross multiply
    412,708.86x = 569,572.02 × 242,976.60
  4. Step 4: Simplify right side
    412,708.86x = 138,392,672,874.73
  5. Step 5: Solve for x
    x = 138,392,672,874.73/412,708.86
  6. Step 6: Final answer
    x = 335,327.60

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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.