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Finding the Fourth Proportional to 409,933.98, 615,087.80 and 210,394.49

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Solution

The fourth proportional to 409,933.98, 615,087.80 and 210,394.49 is: 315,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,933.98 : 615,087.80 = 210,394.49 : x
  2. Step 2: Convert to fraction form
    409,933.98/615,087.80 = 210,394.49/x
  3. Step 3: Cross multiply
    409,933.98x = 615,087.80 × 210,394.49
  4. Step 4: Simplify right side
    409,933.98x = 129,411,079,858.81
  5. Step 5: Solve for x
    x = 129,411,079,858.81/409,933.98
  6. Step 6: Final answer
    x = 315,687.61

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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.