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Finding the Fourth Proportional to 546,733.32, 820,105.38 and 191,755.86

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Solution

The fourth proportional to 546,733.32, 820,105.38 and 191,755.86 is: 287,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,733.32 : 820,105.38 = 191,755.86 : x
  2. Step 2: Convert to fraction form
    546,733.32/820,105.38 = 191,755.86/x
  3. Step 3: Cross multiply
    546,733.32x = 820,105.38 × 191,755.86
  4. Step 4: Simplify right side
    546,733.32x = 157,260,012,432.53
  5. Step 5: Solve for x
    x = 157,260,012,432.53/546,733.32
  6. Step 6: Final answer
    x = 287,635.68

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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.