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Finding the Fourth Proportional to 408,434.40, 611,339.40 and 290,336.40

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Solution

The fourth proportional to 408,434.40, 611,339.40 and 290,336.40 is: 434,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,434.40 : 611,339.40 = 290,336.40 : x
  2. Step 2: Convert to fraction form
    408,434.40/611,339.40 = 290,336.40/x
  3. Step 3: Cross multiply
    408,434.40x = 611,339.40 × 290,336.40
  4. Step 4: Simplify right side
    408,434.40x = 177,494,080,574.16
  5. Step 5: Solve for x
    x = 177,494,080,574.16/408,434.40
  6. Step 6: Final answer
    x = 434,571.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.