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Finding the Fourth Proportional to 381,683.60, 571,653.38 and 182,144.10

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Solution

The fourth proportional to 381,683.60, 571,653.38 and 182,144.10 is: 272,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,683.60 : 571,653.38 = 182,144.10 : x
  2. Step 2: Convert to fraction form
    381,683.60/571,653.38 = 182,144.10/x
  3. Step 3: Cross multiply
    381,683.60x = 571,653.38 × 182,144.10
  4. Step 4: Simplify right side
    381,683.60x = 104,123,290,412.06
  5. Step 5: Solve for x
    x = 104,123,290,412.06/381,683.60
  6. Step 6: Final answer
    x = 272,800.01

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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.