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Finding the Fourth Proportional to 402,151.80, 603,665.10 and 225,004.80

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Solution

The fourth proportional to 402,151.80, 603,665.10 and 225,004.80 is: 337,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,151.80 : 603,665.10 = 225,004.80 : x
  2. Step 2: Convert to fraction form
    402,151.80/603,665.10 = 225,004.80/x
  3. Step 3: Cross multiply
    402,151.80x = 603,665.10 × 225,004.80
  4. Step 4: Simplify right side
    402,151.80x = 135,827,545,092.48
  5. Step 5: Solve for x
    x = 135,827,545,092.48/402,151.80
  6. Step 6: Final answer
    x = 337,751.93

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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.