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Finding the Fourth Proportional to 402,176.80, 603,702.60 and 225,029.80

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Solution

The fourth proportional to 402,176.80, 603,702.60 and 225,029.80 is: 337,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,176.80 : 603,702.60 = 225,029.80 : x
  2. Step 2: Convert to fraction form
    402,176.80/603,702.60 = 225,029.80/x
  3. Step 3: Cross multiply
    402,176.80x = 603,702.60 × 225,029.80
  4. Step 4: Simplify right side
    402,176.80x = 135,851,075,337.48
  5. Step 5: Solve for x
    x = 135,851,075,337.48/402,176.80
  6. Step 6: Final answer
    x = 337,789.44

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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.