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Finding the Fourth Proportional to 386,491.10, 533,359.08 and 214,412.47

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Solution

The fourth proportional to 386,491.10, 533,359.08 and 214,412.47 is: 295,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,491.10 : 533,359.08 = 214,412.47 : x
  2. Step 2: Convert to fraction form
    386,491.10/533,359.08 = 214,412.47/x
  3. Step 3: Cross multiply
    386,491.10x = 533,359.08 × 214,412.47
  4. Step 4: Simplify right side
    386,491.10x = 114,358,836,406.33
  5. Step 5: Solve for x
    x = 114,358,836,406.33/386,491.10
  6. Step 6: Final answer
    x = 295,889.96

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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.