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Finding the Fourth Proportional to 385,313.69, 531,719.80 and 213,238.94

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Solution

The fourth proportional to 385,313.69, 531,719.80 and 213,238.94 is: 294,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,313.69 : 531,719.80 = 213,238.94 : x
  2. Step 2: Convert to fraction form
    385,313.69/531,719.80 = 213,238.94/x
  3. Step 3: Cross multiply
    385,313.69x = 531,719.80 × 213,238.94
  4. Step 4: Simplify right side
    385,313.69x = 113,383,363,337.32
  5. Step 5: Solve for x
    x = 113,383,363,337.32/385,313.69
  6. Step 6: Final answer
    x = 294,262.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.