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Finding the Fourth Proportional to 408,701.20, 613,051.80 and 408,701.20

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Solution

The fourth proportional to 408,701.20, 613,051.80 and 408,701.20 is: 613,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,701.20 : 613,051.80 = 408,701.20 : x
  2. Step 2: Convert to fraction form
    408,701.20/613,051.80 = 408,701.20/x
  3. Step 3: Cross multiply
    408,701.20x = 613,051.80 × 408,701.20
  4. Step 4: Simplify right side
    408,701.20x = 250,555,006,322.16
  5. Step 5: Solve for x
    x = 250,555,006,322.16/408,701.20
  6. Step 6: Final answer
    x = 613,051.80

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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.