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Finding the Fourth Proportional to 397,664.80, 596,108.40 and 355,674.40

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Solution

The fourth proportional to 397,664.80, 596,108.40 and 355,674.40 is: 533,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,664.80 : 596,108.40 = 355,674.40 : x
  2. Step 2: Convert to fraction form
    397,664.80/596,108.40 = 355,674.40/x
  3. Step 3: Cross multiply
    397,664.80x = 596,108.40 × 355,674.40
  4. Step 4: Simplify right side
    397,664.80x = 212,020,497,504.96
  5. Step 5: Solve for x
    x = 212,020,497,504.96/397,664.80
  6. Step 6: Final answer
    x = 533,163.85

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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.