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Finding the Fourth Proportional to 406,989.60, 610,052.40 and 196,490.40

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Solution

The fourth proportional to 406,989.60, 610,052.40 and 196,490.40 is: 294,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,989.60 : 610,052.40 = 196,490.40 : x
  2. Step 2: Convert to fraction form
    406,989.60/610,052.40 = 196,490.40/x
  3. Step 3: Cross multiply
    406,989.60x = 610,052.40 × 196,490.40
  4. Step 4: Simplify right side
    406,989.60x = 119,869,440,096.96
  5. Step 5: Solve for x
    x = 119,869,440,096.96/406,989.60
  6. Step 6: Final answer
    x = 294,527.03

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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.