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Finding the Fourth Proportional to 402,443.40, 603,665.10 and 396,222.60

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Solution

The fourth proportional to 402,443.40, 603,665.10 and 396,222.60 is: 594,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,443.40 : 603,665.10 = 396,222.60 : x
  2. Step 2: Convert to fraction form
    402,443.40/603,665.10 = 396,222.60/x
  3. Step 3: Cross multiply
    402,443.40x = 603,665.10 × 396,222.60
  4. Step 4: Simplify right side
    402,443.40x = 239,185,755,451.26
  5. Step 5: Solve for x
    x = 239,185,755,451.26/402,443.40
  6. Step 6: Final answer
    x = 594,333.90

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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.