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Finding the Fourth Proportional to 394,678.95, 592,115.67 and 114,224.55

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Solution

The fourth proportional to 394,678.95, 592,115.67 and 114,224.55 is: 171,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,678.95 : 592,115.67 = 114,224.55 : x
  2. Step 2: Convert to fraction form
    394,678.95/592,115.67 = 114,224.55/x
  3. Step 3: Cross multiply
    394,678.95x = 592,115.67 × 114,224.55
  4. Step 4: Simplify right side
    394,678.95x = 67,634,145,953.70
  5. Step 5: Solve for x
    x = 67,634,145,953.70/394,678.95
  6. Step 6: Final answer
    x = 171,364.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.