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Finding the Fourth Proportional to 415,668.24, 623,667.06 and 216,114.48

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Solution

The fourth proportional to 415,668.24, 623,667.06 and 216,114.48 is: 324,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,668.24 : 623,667.06 = 216,114.48 : x
  2. Step 2: Convert to fraction form
    415,668.24/623,667.06 = 216,114.48/x
  3. Step 3: Cross multiply
    415,668.24x = 623,667.06 × 216,114.48
  4. Step 4: Simplify right side
    415,668.24x = 134,783,482,365.03
  5. Step 5: Solve for x
    x = 134,783,482,365.03/415,668.24
  6. Step 6: Final answer
    x = 324,257.35

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