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Finding the Fourth Proportional to 331,482.90, 497,657.97 and 196,792.86

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Solution

The fourth proportional to 331,482.90, 497,657.97 and 196,792.86 is: 295,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,482.90 : 497,657.97 = 196,792.86 : x
  2. Step 2: Convert to fraction form
    331,482.90/497,657.97 = 196,792.86/x
  3. Step 3: Cross multiply
    331,482.90x = 497,657.97 × 196,792.86
  4. Step 4: Simplify right side
    331,482.90x = 97,935,535,218.09
  5. Step 5: Solve for x
    x = 97,935,535,218.09/331,482.90
  6. Step 6: Final answer
    x = 295,446.72

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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.