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Finding the Fourth Proportional to 406,506.80, 609,760.20 and 126,052.40

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Solution

The fourth proportional to 406,506.80, 609,760.20 and 126,052.40 is: 189,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,506.80 : 609,760.20 = 126,052.40 : x
  2. Step 2: Convert to fraction form
    406,506.80/609,760.20 = 126,052.40/x
  3. Step 3: Cross multiply
    406,506.80x = 609,760.20 × 126,052.40
  4. Step 4: Simplify right side
    406,506.80x = 76,861,736,634.48
  5. Step 5: Solve for x
    x = 76,861,736,634.48/406,506.80
  6. Step 6: Final answer
    x = 189,078.60

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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.