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Finding the Fourth Proportional to 408,826.40, 612,073.20 and 362,170.40

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Solution

The fourth proportional to 408,826.40, 612,073.20 and 362,170.40 is: 542,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826.40 : 612,073.20 = 362,170.40 : x
  2. Step 2: Convert to fraction form
    408,826.40/612,073.20 = 362,170.40/x
  3. Step 3: Cross multiply
    408,826.40x = 612,073.20 × 362,170.40
  4. Step 4: Simplify right side
    408,826.40x = 221,674,795,673.28
  5. Step 5: Solve for x
    x = 221,674,795,673.28/408,826.40
  6. Step 6: Final answer
    x = 542,222.31

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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.