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Finding the Fourth Proportional to 386,614.55, 533,531.10 and 214,533.19

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Solution

The fourth proportional to 386,614.55, 533,531.10 and 214,533.19 is: 296,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,614.55 : 533,531.10 = 214,533.19 : x
  2. Step 2: Convert to fraction form
    386,614.55/533,531.10 = 214,533.19/x
  3. Step 3: Cross multiply
    386,614.55x = 533,531.10 × 214,533.19
  4. Step 4: Simplify right side
    386,614.55x = 114,460,130,318.62
  5. Step 5: Solve for x
    x = 114,460,130,318.62/386,614.55
  6. Step 6: Final answer
    x = 296,057.48

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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.