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Finding the Fourth Proportional to 393,951.06, 591,111.12 and 194,162.54

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Solution

The fourth proportional to 393,951.06, 591,111.12 and 194,162.54 is: 291,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,951.06 : 591,111.12 = 194,162.54 : x
  2. Step 2: Convert to fraction form
    393,951.06/591,111.12 = 194,162.54/x
  3. Step 3: Cross multiply
    393,951.06x = 591,111.12 × 194,162.54
  4. Step 4: Simplify right side
    393,951.06x = 114,771,636,470.67
  5. Step 5: Solve for x
    x = 114,771,636,470.67/393,951.06
  6. Step 6: Final answer
    x = 291,334.75

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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.