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Finding the Fourth Proportional to 400,470.64, 552,644.52 and 219,181.84

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Solution

The fourth proportional to 400,470.64, 552,644.52 and 219,181.84 is: 302,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,470.64 : 552,644.52 = 219,181.84 : x
  2. Step 2: Convert to fraction form
    400,470.64/552,644.52 = 219,181.84/x
  3. Step 3: Cross multiply
    400,470.64x = 552,644.52 × 219,181.84
  4. Step 4: Simplify right side
    400,470.64x = 121,129,642,759.52
  5. Step 5: Solve for x
    x = 121,129,642,759.52/400,470.64
  6. Step 6: Final answer
    x = 302,468.22

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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.