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Finding the Fourth Proportional to 380,683.79, 571,097.78 and 152,997.11

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Solution

The fourth proportional to 380,683.79, 571,097.78 and 152,997.11 is: 229,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,683.79 : 571,097.78 = 152,997.11 : x
  2. Step 2: Convert to fraction form
    380,683.79/571,097.78 = 152,997.11/x
  3. Step 3: Cross multiply
    380,683.79x = 571,097.78 × 152,997.11
  4. Step 4: Simplify right side
    380,683.79x = 87,376,306,246.94
  5. Step 5: Solve for x
    x = 87,376,306,246.94/380,683.79
  6. Step 6: Final answer
    x = 229,524.63

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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.