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Finding the Fourth Proportional to 397,381.60, 596,072.40 and 187,429.60

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Solution

The fourth proportional to 397,381.60, 596,072.40 and 187,429.60 is: 281,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,381.60 : 596,072.40 = 187,429.60 : x
  2. Step 2: Convert to fraction form
    397,381.60/596,072.40 = 187,429.60/x
  3. Step 3: Cross multiply
    397,381.60x = 596,072.40 × 187,429.60
  4. Step 4: Simplify right side
    397,381.60x = 111,721,611,503.04
  5. Step 5: Solve for x
    x = 111,721,611,503.04/397,381.60
  6. Step 6: Final answer
    x = 281,144.40

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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.