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Finding the Fourth Proportional to 513,253.50, 769,923.27 and 189,129.84

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Solution

The fourth proportional to 513,253.50, 769,923.27 and 189,129.84 is: 283,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,253.50 : 769,923.27 = 189,129.84 : x
  2. Step 2: Convert to fraction form
    513,253.50/769,923.27 = 189,129.84/x
  3. Step 3: Cross multiply
    513,253.50x = 769,923.27 × 189,129.84
  4. Step 4: Simplify right side
    513,253.50x = 145,615,464,867.38
  5. Step 5: Solve for x
    x = 145,615,464,867.38/513,253.50
  6. Step 6: Final answer
    x = 283,710.61

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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.