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Finding the Fourth Proportional to 412,901.50, 569,258.72 and 269,412.42

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Solution

The fourth proportional to 412,901.50, 569,258.72 and 269,412.42 is: 371,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,901.50 : 569,258.72 = 269,412.42 : x
  2. Step 2: Convert to fraction form
    412,901.50/569,258.72 = 269,412.42/x
  3. Step 3: Cross multiply
    412,901.50x = 569,258.72 × 269,412.42
  4. Step 4: Simplify right side
    412,901.50x = 153,365,369,361.30
  5. Step 5: Solve for x
    x = 153,365,369,361.30/412,901.50
  6. Step 6: Final answer
    x = 371,433.31

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