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Finding the Fourth Proportional to 366,961.32, 506,407.53 and 214,104.60

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Solution

The fourth proportional to 366,961.32, 506,407.53 and 214,104.60 is: 295,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,961.32 : 506,407.53 = 214,104.60 : x
  2. Step 2: Convert to fraction form
    366,961.32/506,407.53 = 214,104.60/x
  3. Step 3: Cross multiply
    366,961.32x = 506,407.53 × 214,104.60
  4. Step 4: Simplify right side
    366,961.32x = 108,424,181,647.64
  5. Step 5: Solve for x
    x = 108,424,181,647.64/366,961.32
  6. Step 6: Final answer
    x = 295,464.88

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Why These Related Problems?

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