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Finding the Fourth Proportional to 411,399.90, 615,933.45 and 411,399.90

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Solution

The fourth proportional to 411,399.90, 615,933.45 and 411,399.90 is: 615,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,399.90 : 615,933.45 = 411,399.90 : x
  2. Step 2: Convert to fraction form
    411,399.90/615,933.45 = 411,399.90/x
  3. Step 3: Cross multiply
    411,399.90x = 615,933.45 × 411,399.90
  4. Step 4: Simplify right side
    411,399.90x = 253,394,959,736.66
  5. Step 5: Solve for x
    x = 253,394,959,736.66/411,399.90
  6. Step 6: Final answer
    x = 615,933.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.